bluuebunny/crossref_metadata_2025 huggingface dataset:
On the convergence of Ishikawa iterative process for a pair of single-valued and multi-valued nonexpansive mappings
Authors: Rashwan Rashwan Ahmad , Jhade Pankaj Kumar , Saluja A. S.
Published: September 2022

Let K be a nonempty compact convex subset of a complete CAT(0) space X and let t: K → K and T: K → CB(K) be a single-valued nonexpansive mapping and a multi-valued nonexpansive mapping, respectively. Assume, in addition, that F(t) ∩ F(T) ≠ ∅ and Tp = {p} for all p ∈ F(t) ∩ F(T). We prove that the sequence of modified Ishikawa iteration method generated from an arbitrary x0 ∈ K by yn = (1 - βn) xn ⊕ βn zn, xn+1 = (1-αn) xn ⊕ αntyn, where zn ∈ Txn and {αn}, {βn} are sequences of positive numbers satisfying 0< a ≤ αn, βn ≤ b < 1 converges strongly to a common fixed point of t and T; that is, there exists x ∈ K such that x = tx ∈ Tx. Our results extends and generalizes some theorems of T. Puttasontiphot [24].
A common fixed point theorem for four mappings in intuitionistic fuzzy metric space
Authors: Manro Saurabh
Published: September 2022

In this paper, we prove a common fixed point theorem in intuitionistic fuzzy metric space by combining the ideas of pointwise R-weak commutativity and reciprocal continuity of mappings satisfying contractive condition.
Fixed point theorem for generalized contractions satisfying rational type expressions in partially ordered metric spaces
Authors: Chandok Sumit , Narang T. D. , Taoudi Mohamed-Aziz
Published: September 2022

In this paper, we prove a fixed point result for mappings satisfying a generalized contractive condition of rational type in the framework of metric spaces endowed with partial order. The proved result generalizes and extends some known results in the literature.
A unified study of certain subclasses of alpha-uniformly convex functions of order beta with negative coefficients
Authors: Porwal Saurabh , Dixit K. K. , Pathak A. L. , Tripathi R.
Published: September 2022

In this paper, we introduce a unified presentation of certain subclasses of starlike and uniformly convex functions with negative coefficients. The unified class of starlike and uniformly convex functions with negative coefficients in the open unit disc is denoted by α-T(β, μ). It is interesting to note that the results of this paper are sharp and generalize the corresponding results of Bharti et al. [1], Dixit and Misra [2] and hence corresponding results of Murugusundaramoorthy [9], Goodman [3,4], Ma and Minda [7,8], Ronning [10], Kanas and Wisniowska [5,6].
On the solutions of the system of rational difference equations x_{n+1}=(x_{n-1}/x_{n-1}-1), y_{n+1}=(y_{n-1}/x_n y_{n-1}-1) and z_{n+1}=(z_{n-1}/x_n y_n z_{n-1}-1)
Authors: Al-Ashhab Saleem
Published: September 2022

In this\ paper, we introduce systems of difference equations, namely xn+1 = (xn-1 ∕ (xn-1 - 1)), yn+1 = (yn-1 ∕ (xn yn-1-1)) and zn+1 = (zn-1 ∕ (xn yn zn-1-1)). In addition, we obtain the general form of the solutions for these systems.
Nonlocal boundary value problems with transmission conditions
Authors: Kandemir Mustafa
Published: September 2022

We consider nonlocal boundary value problems which includes elliptic differential operator equations of the second order with discontinuous coefficients and nonlocal boundary conditions together with transmission conditions. We establish Fredholmness for these nonlocal boundary value problems.
Slant submersions from Lorentzian almost paracontact manifolds
Authors: Gunduzalp Yilmaz
Published: September 2022

In this paper, we introduce slant submersions from Lorentzian almost paracontact manifolds onto Riemannian manifolds. We give examples and investigate the geometry of foliations which are arisen from the definition of a Lorentzian submersion. We also find necessary and sufficient conditions for a slant submersion to be totally geodesic.
The logarithm of the least prime factor II
Authors: Jakimczuk Rafael
Published: September 2022

Let p(n) be the least prime factor of the positive integer n. In a previous note we prove the equation ∑i=2n log p(i) = o(n log n). In this note we obtain more precise results.
On generalized right derivations of incline algebras
Authors: Kim Kyung Ho
Published: September 2022

In this paper, we introduce the concept of a generalized right derivation, which is a generalization of right derivation in incline algebras and give some properties of incline algebras. Also, the concept of D-ideal is introduced in an incline algebra with respect to a generalized right derivation.
On generalized higher derivations on semiprime rings
Authors: Ezzat O. H.
Published: September 2022

We obtain the following result: Let R be a 2-torsion free semiprime ∗-ring. Suppose there exists a family of additive mappings F=(fi)i∈ℕ0 of ℝ associated with some higher derivation D = (di)i∈ℕ0 of R, such that f0 = idR and the relation fn(xx∗) = ∑i+j=nfi(x)dj(x∗) is fulfilled for each n ∈ ℕ0 and for all x ∈ R. Then F is a generalized higher derivation. Further, we also prove that if the relation fn(xy∗x) = ∑i+j+k=n fi(x)dj(y∗)dk(x) is fulfilled for each n ∈ ℕ0 and for all x,y ∈ R, then F is also a generalized higher derivation.
Optimization techniques for mixed finite element methods of an semilinear elliptic PDEs - superconvergence
Authors: Manickam K.
Published: September 2022

In this paper, we shall investigate the superconvergence property of semilinear quadratic elliptic optimal control problems by triangular mixed finite element methods. The state and co-state are approximated by Raviart-Thomas mixed finite element spaces of order k, and the control is approximated by piecewise constant functions. We derive the superconvergence properties for both the control variable and the state variables.
Coefficient determinants involving many Fekete-Szego-type parameters
Authors: Babalola Kunle Oladeji
Published: September 2022

We extend our definition (in a recent paper [3]) of the coefficient determinants of analytic mappings of the unit disk to include many Fekete-Szego-type parameters, and compute the best possible bounds on certain specific determinants for the choice class of starlike functions.
Topline graph of a tree
Authors: Goudar Venkanagouda M.
Published: September 2022

In this communications, the concept of topline graph of a tree is introduced. We present characterization of graphs whose topline graph of a tree is planar, maximal outerplanar and minimally nonouterplanar. Also we establish a characterization of graphs whose topline graph of a tree is Eulerian and Hamiltonian.
Some modular relations of order six with its applications to partitions
Authors: Adiga Chandrashekar , Surekha M. S. , Bulkhali Nasser Abdo Saeed
Published: September 2022

In the paper, we establish some modular relations involving cubic functions which are analogous to Ramanujan's forty identities. We also give new proof of some modular relations of the same nature established earlier by C. Adiga, K. R. Vasuki and N. Bhaskar. Furthermore, we extract interesting partition results from some of our modular relations.
On new forms of the reciprocity theorems
Authors: Somashekara D. D. , Murthy K. Narasimha , Shalini S. L.
Published: September 2022

In his lost notebook, Ramanujan has stated a beautiful two variable reciprocity theorem. In the recent past, three and four variable generalizations of the reciprocity theorem of Ramanujan were established. In this paper we establish new symmetric and elegant forms of all the three reciprocity theorems. We also deduce results from some q-gamma, q-beta and eta function identities.
Characterization of the solution of the Diophantine equation x^2+ y^2 = 2z^2
Authors: Diany Hassan , Abdelalim Seddik
Published: September 2022

In this paper. We are intersted to characterize the solutions of the diophantine equation x2 + y2 = 2z2 by using the arithmetic technicals.
On power Armendariz rings
Authors: Bakkari Chahrazade
Published: September 2022

The study of Armendariz rings was initiated by Rege and Chhawchharia, based on a result of Armendariz related to the structure of reduced rings. Recently, Armendariz rings were generalized to power Armendariz rings in [12, 18]. We investigate the transfer of the power Armendariz property to subring retracts, trivial ring extensions, finite direct products, localizations, and amalgamated algebras along an ideal. Our aim is to provide new classes of rings satisfying this property.
Trivial ring extensions and amalgamations of periodic rings
Authors: Kabbour Mohammed
Published: September 2022

In this paper, we investigate the transfer of the notion of periodic ring to trivial ring extensions of commutative ring by modules and amalgamation of rings. Namely, we prove that the trivial ring extension A ∝ E is a periodic ring if and only if so is A. It is also shown that the amalgamation A ⋈f J is a periodic ring if and only if so is A and J satisfies the periodic-like property.
Almost n-perfect rings
Authors: Ouarghi Khalid
Published: September 2022

In this paper, we introduce and define the notion of almost n-perfect ring which is a generalization of almost perfect ring, and we investigate the transfer of this property to some ring extensions. Also, We give a characterization of global weak injective dimension property.
Rings in which every homomorphic image satisfy (strong) Property (A)
Authors: Mahdou Najib , Louartiti Khalid
Published: September 2022

The notions of (A)-rings and strong (A)-rings are defined in [6, 12]. In this paper, we study a class of rings in which every homomorphic image satisfy (strong) Property (A).
On Gorenstein global dimension of tensor product of algebras over a field
Authors: Mahdou Najib , Tamekkante Mohammed
Published: September 2022

In this paper, we study the Gorenstein global dimension of the tensor product of associative algebras. In particular, the Gorenstein global dimension of the enveloping algebras Ae of the algebras A.
The binary calculus in E_{a,b}^2
Authors: Hassib My Hachem , Chillali Abdelhakim , Elomary Mohamed Abdou
Published: September 2022

In [11, p.52-57], M.Virat has established the group law on the elliptic curve defined over the ring Fpd[ε], εn = 0, where p a prime number ≥ 5, d ∈ ℕ* and n = 2; and in [4] A.Chillali has, on his part studied the same case for p and extend it to n = 3. In this article we will study the elliptic curve over the ring A2 = F3d[ε], where ε2 = 0. More precisely we will give many various explicit formulas describing the binary operations calculus in Ea,b2, where Ea,b2 is the elliptic curve over A2, and we will reduce the cost of the complexity of the calculus found in Theorem 1.1, by proving the Lemmas 3.1, 3.2, 3.3, 3.4, 3.5 and 3.6; as it is shown in the Section 3.
Matrix product codes over F_p
Authors: Bouye Mohamed , Said Mohamed
Published: September 2022

We will present in this paper the concept of matrix-product code [C1, C2, ... , Cs]A where C1, C2, ... , Cs are linear codes and matrix A has full rank. The purpose of this paper is to give some properties of these codes that will be useful later, the two main points being the existence of a MacWilliams identity (which is one reason the existence of the phenomenon of duality formal) and the structure of the matrix-product code on ℤpk.
The elliptic curve E_{a,b}(F_p[e_1, e_2, e_3])
Authors: Chillali Abdelhakim , Abdelalim Seddik
Published: September 2022

In this paper, we study the elliptic curve Ea,b over ring Fp[e1, e2, e3], where eiei = ei and eiej = 0 if i ≠ j. We characterize the invertible elements of Fp[e1, e2, e3], and we determine the relation between Ea,b(Fp[e1, e2, e3]) and Ea,b(Fp). Finally we show that Card(Ea,b(Fp[e1, e2, e3])) ≥ (Card(Ea,b(Fp))-3)3 + Card(Ea,b(Fp)).
Bezout-like properties in amalgamated algebra
Authors: El Ouarrachi Mounir
Published: September 2022

In this paper, we investigate the transfer of the properties of P-Bezout rings and 2-Bezout rings to the amalgamation of A and B along J with respect to f (denoted by A ⋈f J). Our aim is to provide necessary and sufficient conditions for A ⋈f J, to be a P-Bezout rings and 2-Bezout rings.
On the non-special part of the Weierstrass semigroup of n-points of a smooth curve
Authors: Ballico Eduardo
Published: September 2022

Let X be a smooth curve of genus g > 0. For any n ≥ 2 and any n distinct points P1, ... , Pn ∈ X, let H(P1, ... , Pn)+ be the set of all (a1, ... , an) ∈ ℕn such that OX(a1P1 + ... + anPn) is spanned and non-special. This set is closed by the operation ≼, where (a1, ... , an) ≼ (b1, ... , bn) if and only if ai ≤ bi for all i. We raise some questions on the minimal cardinality of a subset of H(P1, ... , Pn)+ generating it using ≼ and compute this number in a few examples.
Some results on the difference between consecutive perfect powers
Authors: Jakimczuk Rafael
Published: September 2022

Let Pn be the n-th perfect power. In this article we prove various theorems on the difference dn = Pn+1 - Pn. In the literature there does not exist an article dedicated to a general study on the difference dn between consecutive perfect powers. This article is the first attempt to study it.
Spanned vector bundles on blowing ups of P^3 at finitely many points and with very low c_1
Authors: Ballico Eduardo
Published: September 2022

We study spanned vector bundles on the blowing up of ℙ3 at a few points. We give a full classification for very low c1 and study some more general case.
The group idempotents in a partial Galois extension
Authors: Szeto George , Jiang Xiao-Long
Published: September 2022

Let (R, αG) be a partial Galois extension with a partial action αG of a finite group G, B the Boolean ring generated by {1g | g ∈ G} where 1g is the central idempotent associated with g ∈ G. Let e ≠ 0 ∈ B and G(e) = {g ∈ G | e1g ≠ 0}. We call e a group idempotent if G(e) is a subgroup of G. It is shown that if e is a group idempotent, then (Re, αG(e)) is a partial Galois extension induced by e. Thus the set of these partial Galois extensions in (R, αG) is computed, and a structure theorem for (R, αG) is obtained.
On adequate rings: The basic properties
Authors: Zennayi Mohammed
Published: September 2022

In this paper, we investigate the transfer of notion of adequate rings to direct product of rings and homomorphic image. Our aim is to give new classes of commutative rings satisfying this property.
A note on fixed point theorems for weakly T-Kannan and weakly T-Chatterjea contractions in b-metric spaces
Authors: Radenovic Stojan , Kadelburg Zoran , Paunovic Ljiljana
Published: September 2022

In this paper, we consider fixed point results in the setup of $b$-metric spaces for weakly T-Kannan and weakly T-Chatterjea contractive mappings. Thus, we improve and complement recent results established by Z. Mustafa et al.\ [J.\ Inequal.\ Appl.\ 2014, 2014:46] and A. Razani, V. Parvaneh [Russ.\ Math.\ (Izv.\ VUZ), 57 (3), 38--45 (2013)], with much shorter proofs. Moreover, we show that the results of A.H. Ansari et al.\ [J. Inequal.\ Appl.\ 2014, 2014:429] are not generalizations of the known ones. An example is given illustrating our results.
Domain of difference matrix of order one in some spaces of double sequences
Authors: Demiriz Serkan , Duyar Osman
Published: September 2022

In this study, we define the spaces Mu(Δ), Cp(Δ), C0p(Δ), Cr(Δ) and ℒq(Δ) of double sequences whose difference transforms are bounded , convergent in the Pringsheim's sense, null in the Pringsheim's sense, both convergent in the Pringsheim's sense and bounded, regularly convergent and absolutely q-summable, respectively, and also examine some inclusion relations related to those sequence spaces. Furthermore, we show that these sequence spaces are Banach spaces. We determine the alpha-dual of the space Mu(Δ) and the β(v)-dual of the space Cη(Δ) of double sequences, where v, η ∈ {p,bp,r}. Finally, we characterize the classes (μ : Cv(Δ)) for v ∈ {p,bp,r} of four dimensional matrix transformations, where μ is any given space of double sequences.
Finitely bi-normal relations
Authors: Romano Daniel A. , Vincic Milovan
Published: September 2022

In this paper the concept of finitely bi-normal relations as finite extension of bi-normal relations is introduced. A characterization of that relations is obtained.
Modelling and stability analysis of SVEIRS yellow fever two host model
Authors: Kung'aro Monica , Luboobi Livingstone Serwadda , Shahada Francis
Published: September 2022

We describe transmission dynamics of yellow fever (YF) within two host populations, and build up a deterministic SVEIRS model with vaccination to the entire new born. The model aims at clarifying contributions of mathematical ideas in studying the impact of YF disease dynamics. We examine existence of equilibrium solutions and give out conditions that are sufficient for existence of realistic equilibria. Threshold of the form R0 = √(Rhv + Rvm) is obtained, where Rhv and Rvm are reproduction numbers for human-vector and vector-primate compartments respectively. Stability analysis of the equilibria is presented; trace-determinant approach is used in determining local stability of DFE and Metzler matrix for global stability. Lyapunov function is used in establishing conditions for global stability of EE. Our results suggests that eradication of the infection to human population is possible only if Rhv < 1 and Rvm <1. Due to new births and immunity loss to YF after ten years, susceptible class will always be refilled and hence continuous vaccination is essential.
On framelet kernels of M-band wavelet frames
Authors: Shah Firdous Ahmad , Bhat Mohammad Younis
Published: September 2022

Framelets and their promising features in applications have attracted a great deal of interest, and effort in recent years especially in signal denoising, image compression, and numerical algorithms. In this note, we introduce reproducing kernel Hilbert spaces and associated kernels that are explicitly constructed by the elements of M-band framelet system.
Logarithm of the greatest prime factor
Authors: Jakimczuk Rafael
Published: September 2022

In this article we prove asymptotic formulae for sums where appear logkP(n), where P(n) is the greatest prime factor of n. In this way we generalize a formula of N. G. De Bruijn. Our methods are very elementary, we only use the concept of integral of a continuous function. We do not use the theory of complex functions.
Coefficient inequalities for a class of harmonic univalent functions
Authors: Fadipe-Joseph O. A. , Afolabi Y. O. , Moses B. O.
Published: September 2022

In this paper, a new class of harmonic univalent function using the modified Salagean differential operator is introduced. New results on the new class are obtained. Distortion bounds, Convolution and Convex combination in the new class are also established. The work extended some earlier results .
On common random fixed point theorems under contractive type condition in cone random metric spaces
Authors: Saluja G. S.
Published: September 2022

The aim of this paper is to establish some common random fixed point theorems under contractive type condition in the framework of cone random metric spaces and also to obtain some classical results as corollaries. Our results extend and generalize many known results from the current existing literature.
Connections between certain classes of harmonic univalent mappings involving generalized Bessel functions
Authors: Porwal Saurabh , Ahamad Dilshad
Published: September 2022

In the present paper, we obtain some sufficient conditions of certain convolution operator involving generalized Bessel functions of first kind belonging to various subclasses of harmonic univalent functions. To be more precise, we investigate such connections with harmonic g-uniformly convex and harmonic g-uniformly starlike mappings in the plane.
Normal families of meromorphic functions concerning shared values
Authors: Sun Cheng-Xiong
Published: September 2022

Let a(≠ 0), b ∈ ℂ and k ∈ ℤ+;. Let ℱ be a family of meromorphic functions in a domain D such that each f in ℱ has only zeros of multiplicity at least k + 2. For each f in ℱ, if f + a(f(k))k+1-b has at most 1 zero in D, then ℱ is normal in D. We also give some examples to illustrate that some restricted conditions of our main results are necessary.
On (alpha, beta)-n-derivations and certain n-additive mappings in rings with involution
Authors: Ashraf Mohammad , Siddeeque Mohammad Aslam , Mozumder Muzibur Rahman
Published: September 2022

Let R be an associative ring with involution ∗. In this paper we introduce the notion of (α,β)∗-n-derivation in R, where α and β are endomorphisms of R. An additive mapping x↦x∗ of R into itself is called an involution on R if it satisfies the conditions: (i) (x∗)∗=x, (ii) (xy)∗=y∗x∗ for all x,y∈ R. A ring R equipped with an involution ∗ is called a ∗-ring. In the present paper it is shown that if a ∗-prime ring R admits a nonzero (α,β)∗-n-derivation D such that α is surjective, then R is commutative. Some properties of certain n-additive mappings are also discussed in the setting of ∗-prime rings and semiprime ∗-rings. Further, some related properties of (α,β)∗-n-derivation in semiprime ∗-ring have also been investigated. Besides, we have also constructed several examples throughout the text to justify that various restrictions imposed in the hypotheses of our theorems are not superfluous. Finally a structure theorem for (α,β)∗-n-derivation in a semiprime ∗-ring has been established.
Gorenstein FI-flat (pre)covers
Authors: Selvaraj C. , Biju V. , Udhayakumar R.
Published: September 2022

In this paper, we give a characterization of left GFIF-closed ring and we prove that over a GFIF-closed ring every R-module has Gorenstein FI-flat (pre)cover.
A study of topological and geometrical characteristics of new Banach sequence spaces
Authors: Candan Murat , Kara Emrah Evren
Published: September 2022

A short extract of this study is to submit a new sequence space ℓp(F(r,s)) under the domain of the matrix F(r,s) constituted by using Fibonacci sequence and non-zero real number r and s of ℓp previously defined. Additionally, we construct some inclusion relations concerning with this space and determine its the α-, β-, γ-duals. Moreover, we characterize some matrix classes on the space ℓp(F(r,s)) and examine some geometric properties of this space.
On generalized derivations and commutativity of prime gamma-rings
Authors: Huang Shuliang , Daif M. Nagy
Published: September 2022

Let M be a prime Γ-ring with center Z(M), I a nonzero ideal of M and F be a generalized derivation with associated nonzero derivation d. In the present paper, our purpose is to produce commutativity results for prime Γ-rings M admitting a generalized derivation F satisfying any one of the properties: (i) F(xαy)∓xαy ∈ Z(M), (ii) F(xαy)∓yαx ∈ Z(M), (iii) F(x)αF(y)∓xαy ∈ Z(M), (iv) F(x)αF(y)∓yαx ∈ Z(M), (v) F([x, y]α)=[F(x), y]α, (vi) [F(x), y]α∓[x, F(y)]α=0, (vii) F([x, y]α)∓[d(x), d(y)]α=0, for all x,y ∈ I and α ∈ Γ. Also, some examples are given to show that the primeness of the various results is not superfluous.
On the Hilbert function of zero-dimensional schemes of the smooth quadric surface
Authors: Ballico Edoardo
Published: September 2022

We study the vanishing of h1(ℐZ(a1,a2)) for a zero-dimensional scheme Z ⊂ ℙ1 × ℙ1, when deg (Z) ≤ 4a2+1 and a1≥ a2.
On the dominating sets of the complement of the annihilating ideal graph of a commutative ring
Authors: Visweswaran S. , Vadhel Pravin
Published: September 2022

Let R be a commutative ring with identity which is not an integral domain. Let A(R)∗ denote the collection of all nonzero annihilating ideals of R and AG(R) denote the annihilating ideal graph of R. In this article, we consider the dominating sets of (AG(R))c (where (AG(R))c is the complement of AG(R)) and study the influence of the dominating sets of (AG(R))c on the ring structure of R and vice-versa.
Harary spectra and Harary energy of line graphs of regular graphs
Authors: Ramane Harishchandra S. , Jummannaver Raju B.
Published: September 2022

The Harary matrix of a graph G is defined as RD(G) = [rij] in which rij = 1 ∕ dij if i ≠ j and rij = 0 if i = j, where dij is the distance between the vertices vi and vj in G. The Harary energy of G is defined as the sum of the absolute values of the eigenvalues of Harary matrix. Two graphs are said to be Harary equienergetic if they have same Harary energy. In this paper we show that the Harary matrix of complement of the line graph of certain regular graphs has exactly one positive eigenvalue. Further we obtain the Harary energy of line graphs and of complement of line graphs of certain regular graphs and thus constructs pairs of Harary equienergetic graphs of same order and having different Harary eigenvalues.
Projective equivalence between two families of Finsler metrics
Authors: Kumar Pradeep , S Madhu T , Ramesha M
Published: September 2022

In this paper, we find the necessary and sufficient condition to characterize the projective relation between two subclasses of (α, β)-metrics L = α + 2β + β2 ∕ α and L = α2 ∕ β on a manifold M with dimension n > 2, where α and α are two Riemannian metrics, β and β are two non zero 1-forms.
A characterization of generalized higher Lie derivations on algebras
Authors: Hosseini Amin , Jokar Zahra , Niknam Assadollah
Published: September 2022

Let A and B be two algebras. In this paper, under certain conditions, a characterization of generalized higher Lie derivations from A into B as a sequence of generalized Lie derivations will be presented.
n-FP-injective and n-flat complexes
Authors: Selvaraj C. , Saravanan R.
Published: September 2022

In this paper, we extend the notions of n-FP-injective and n-flat modules to that of complexes which we call n-FP-injective and n-flat complexes, respectively and we show that the class of all n-FP-injective (resp., n-flat) complexes together with its left (resp., right) orthogonal class forms a complete cotorsion theory. Also we characterize n-coherent rings in terms of n-FP-injective and n-flat complexes.
Remarks on relative projective of Mackey functors
Authors: Alghamdi Ahmad M. , Algreagri Manal H.
Published: September 2022

The aim of this paper is to study and discuss the concept of relative projectivity in the case of Mackey functors. Then we use the definitions of a vertex and of a source of an indecomposable Mackey functor to recall some results of Green's theory. Higman Criterion is the main tool.
Unfiltrable vector bundles and spanned vector bundles
Authors: Ballico Eduardo
Published: September 2022

Let X be an integral n-dimensional projective variety. We study the existence of rank r ≥ 2 vector bundles on X which are not extensions of two vector bundles (e.g. they exist if r=2 and X is a smooth surface with Kodaira dimension ≥ 0). Their existence implies the existence of many spanned rank n vector bundles E on X and (n+r)-dimensional linear subspaces W ⊆ H0(E) spanning E such that the evaluation map W⊗ OX → E does not factor through f: W⊗ OX → F and g: F → E with F locally free, f, g surjective and n+r > rank(F) > rank(E).
Some results on uniqueness of entire functions sharing a polynomial
Authors: Sahoo Pulak , Saha Biswajit
Published: September 2022

In this paper, we study the uniqueness problem on entire functions that share a nonconstant polynomial in which multiplicities are not taken into consideration. The results of the paper improve and generalize the recent results due to Liu-Yang.
On generalized Jordan triple (alpha, beta)-derivations of rings
Authors: Rehman Nadeem Ur , Muthana Najat Mohammed
Published: September 2022

In the present paper, we study Jordan triple (α, β)-derivation, generalized Jordan triple (α, β)-derivation on ideal I of a prime ring R and find the necessary and sufficient conditions under which any Jordan triple (α, β)-derivation (resp. generalized Jordan triple (α, β)-derivation) becomes an (α, β)-derivation on ideal I (resp. a generalized (α, β)-derivation on I).
Generalization of Titchmarsh's Theorem in the space L^2(R, A_{alpha, beta}(x)dx)
Authors: El Ouadih S. , Daher R. , Belkhadir A.
Published: September 2022

In this paper, using a generalized Jacobi-Dunkl translation operator, we prove an analog of Titchmarsh's theorem for functions satisfying the φ-Jacobi-Dunkl Lipschitz condition in L2(ℝ, Aα,β(x)dx), α ≥ β ≥ -1 ∕ 2, α ≠ -1 ∕ 2.
Centrally-extended homoderivations on rings
Authors: Melaibari Asmaa , Muthana Najat , Al-Kenani Ahmad
Published: September 2022

Let R be a ring with center Z(R). A mapping H from R into itself is called a centrally-extended homoderivation on R if for each x, y ∈ R, H(x+y) - H(x) - H(y) ∈ Z(R) and H(xy) - H(x)H(y)- H(x)y - xH(y) ∈ Z(R). We present examples of mappings that are centrally-extended homoderivations but not homoderivations. We also study the effect of such mappings on Z(R) and prove some commutativity results.
Measure of noncompactness and second order evolution equations
Authors: Benchohra Mouffak , Rezzoug Noreddine
Published: September 2022

In this article, we provide sufficient conditions for existence of mild solutions for second order semi-linear functional evolution equations in Banach spaces using the concept of a measure of noncompactness and Schauder's fixed point theorem. For illustration we give an example.
Hemi-slant submersions from almost product Riemannian manifolds
Authors: Akyol Mehmet Akif , Gunduzalp Yilmaz
Published: September 2022

In this paper, we introduce hemi-slant submersions from almost product Riemannian manifolds onto Riemannian manifolds. We give an example, investigate the geometry of foliations which are arisen from the definition of a Riemannian submersion. We also find necessary and sufficient conditions for a hemi-slant submersion to be totally geodesic.
Generalization of Titchmarsh's Theorem for the generalized Fourier transform in the space L^2_{alpha,beta}(R)
Authors: El Ouadih S. , Daher R.
Published: September 2022

In this paper, we prove the generalization of Titchmarsh's theorem for the generalized Fourier transform for functions satisfying the (ψ, 2, k)-Cherednik-Opdam Lipschitz condition in the space L2α, β(ℝ).
A note on the ideal convergence of infinite product
Authors: Abay Merve , Altundag Selma , Basarir Metin
Published: September 2022

In this paper, we give the relationship between ℐ-convergent infinite product and ℐ-convergent infinite series. We also give some results related to these concepts.
Sign domination in arithmetic graphs
Authors: Chaluvaraju B. , Chaitra V.
Published: September 2022

Investigation of the graph, whose vertices are labelled with the natural numbers and adjacency among them influenced by concepts of number theory is of prime importance. This marks the collaboration of higher arithmetic with graph theory. In this paper, we compute the sign domination number of one such graph called Arithmetic graph. Also, we characterize the sign domination number with domination and efficient domination number of arithmetic graph.
Hemi-slant submanifolds of nearly Kaehler manifolds
Authors: Lone Mehraj Ahmad , Shahid Mohammad Hasan , Sharma Som Datt
Published: September 2022

In the present paper, we study the hemi-slant submanifolds of nearly Kaehler manifolds. We study the integrability of distributions involved in the definition of hemi-slant submanifolds. Some results are worked out on totally umbilical hemi-slant submanifolds. We study the cohomology class for hemi-slant submanifolds of nearly Kaehler manifolds.
Computer extended series and homotopy analysis method for the solution of MHD flow of viscous fluid between two parallel porous plates
Authors: Awati Vishwanath B. , Jyoti Manjunath , Katagi N. N.
Published: September 2022

The study of steady two-dimensional incompressible magnetohydrodynamic (MHD) viscous fluid between two parallel porous plates is considered. The governing equations of the flow problem are reduced into nonlinear ordinary differential equation by using similarity transformations. The resulting equation of the problem is solved by using computer extended series (CES) and homotopy analysis method (HAM) with polynomial coefficients. The universal coefficients in the low Reynolds number perturbation expansion are generated. The analytic continuation of series solution unravel the flow structure which could not be fully revealed in earlier perturbation as well as numerical studies. The present analysis of the flow problem enables us to extend the study for higher Reynolds number R=10 to 30. Both the solutions are found to be an excellent agreement and the results are demonstrated graphically.
2-point set domination number of a cactus
Authors: Jain Deepti , Gupta Purnima , Acharya Mukti
Published: September 2022

A set D ⊆ V(G) is a 2-point set dominating set (2-psd set) of a graph G if for any subset S ⊆ V-D, there exists a non-empty subset T ⊆ D containing at most two vertices such that the subgraph  induced by S ∪ T is connected. The 2-point set domination number of G, denoted by γ2ps(G), is the minimum cardinality of a 2-psd set of G. In this paper we give the 2-psd number γ2ps(G) for cactus. Also we give an alternate proof for γ2ps(G) of unicyclic graphs which also reflects the structure of minimum 2-psd sets of unicyclic graphs.
Inequalities for angular derivatives at the boundary of the unit disc
Authors: Ornek Bulent Nafi
Published: September 2022

In this paper, a boundary version of Schwarz inequality is investigated. For the function f(z)=β + cpzp + ... defined in the unit disk, ℜf(z) > α, 0 ≤ α < β ( β is any integer ≥ 1), we estimate a modulus of angular derivative at the boundary point z0, ℜf(z0)=α, by taking into account their first nonzero two Maclaurin coefficients. The sharpness of these estimates is also proved.
On the difference of Zagreb coindices of graph operation
Authors: Hosamani Sunilkumar M. , Krzywkowski Marcin
Published: September 2022

Recently the differences of Zagreb indices are reported by Furtula, Gutman and Ediz. The Zagreb coindices are defined as M1(G) = ∑uv ∉ E(G) [d(u) + d(v)] and M2(G) = ∑uv ∉ E(G)d(u)d(v), where d(u) is the degree of the vertex u of G. So far, the difference M1 and M2 has not been studied. We show that this difference is closely related to the vertex degree-based invariant RM2=∑uv ∉ E(G)(d(u)-1)(d(v)-1), and explore their basic mathematical properties and present explicit formulas for this new invariant under several graph operations.
Prime ideal factorization in quartic number fields
Authors: El Fadil L. , Chillali Abdelhakim , Akharraz Ismail
Published: September 2022

For every prime integer p, and for every number field K defined by a p-regular polynomial, the form of the factorization of the principal ideal pℤK into prime ideals of ℤK is given. To illustrate the potential applications of this factorization, we derive from this result an explicit description of the factorization of pℤK, where K is a quartic number field defined by an irreducible polynomial X4 + aX + b ∈ ℤ[X].
Quaternion algebras and symbol algebras over algebraic number field K, with the degree [K:Q] even
Authors: Savin Diana
Published: September 2022

Let F be a quadratic field (F = ℚ (√d), where d ≠ 0, 1 is a square-free integer). Let K be the pure algebraic quartic field K = ℚ (4√d). In this paper we determine connections between split quaternion algebras over F and split quaternion algebras over K.
On SCI-modules
Authors: Ba Alhousseynou , Diankha Oumar
Published: September 2022

Let R be a commutative ring with unity 1 ≠ 0 and M a unitary left R-module. In this paper, we introduce the SCI-modules which is an extension of SCI-rings studied in [4]. The aim of this article comes from to the following point. Let ℤ be the ring of integers and M = ⊕ ℤ ∕ pℤ a ℤ-module with p a prime number. It is easy to see that M ∈ σ[ℤ] is co-Hopfian but it is not finitely cogenerated. An R-module M is said to be a SCI-module if any co-Hopfian object of σ[M] is finitely cogenerated. Firstly, we give some properties of SCI-modules. After that, we give two theorems of characterizations.
On skew derivations in 3-prime near-rings
Authors: Boua Abdelkarim , Taoufiq Lahcen
Published: September 2022

In this paper, we study the relationship between the behavior of skew derivations satisfying certain local properties in near-rings. In particular our purpose is to extend the results of [1] and [5].
Coonstruction of an automorphism of an abelian group that satisfies the property of the weak extension without satisfying the property of the extension
Authors: Zeriouh Mostafa , Abdelalim Seddik , Ziane M.
Published: September 2022

In this paper, we construct an automorphism of an abelian group which has the property of the weak extension without possessing the property of the extension.
On the flatness of Int(D) as a D[X]-module
Authors: Tamoussit A. , Izelgue L.
Published: September 2022

Let D be an integral domain with quotient field K and X an indeterminate. We show that if D is either Krull or Noetherian, then Int(D) := {f ∈ K[X] : f(D) ⊆ D} is flat over D[X] if and only if Int(D) = D[X]. Then, we give several examples of domains D with Int(D) not flat over D[X]. Also, we generalize our investigations to the case of Int(E,D) := {f ∈ K[X] : f(E) ⊆ D}, where E is a subset of D.
The representation ring of SL_d
Authors: Hamraoui Hinda , Khadija Azi
Published: September 2022

Let k be a field, GLd be the algebraic linear group of order d over the field k and SLd be the subgroup of matrices with a determinant of 1. The aim of this paper is to describe the representation rings of those groups and their associated completed rings.
Atiyah motivic theorem for the special group SL_d
Authors: Khadija Azi , Hamraoui Hinda
Published: September 2022

We exploit calculations of the representations rings of linear group GLd and the special group SLd [4] and the various morphisms between them to deduce morphisms between their associated completed rings. From [15], where Riou proves a motivic Atiyah isomorphism for the linear group GLd wich generalises Atiyah isomorphism, for finite groups [1], between the completed representations ring and the ring of the K-theory of the classifying space, we prove a motivic Atiyah isomorphism for the special group SLd.
Solid and H-solid topologies on sequence groups
Authors: El Amrani Abdelkhalek , Hassani R. Ameziane , Babahmed M.
Published: September 2022

The present paper is concerned with the concept of solid topologies in non-archimedean and classical analysis. We introduce the notion of solid and H-solid topologies in sequence groups over a topological group; then we give characterizations of such topologies.
The Diophantine equation x^3 + y^3 = 2z^2
Authors: Abdelalim Seddik , El Adlouni Hassan , Diany Hassan
Published: September 2022

In this paper. We are intersted to show the method of the solving of the Diophantine equation x3 + y3 = 2z2 by using the arithmetic technicals and the Diophantine equations x2 + 3y2 = z2 (see [1]) and x2 - 3y2 = 2z2
Recent progress in determining p-class field towers
Authors: Mayer Daniel
Published: September 2022

For a fixed prime p, the p-class tower Fp∞K of a number field K is considered to be known if a pro-p presentation of the Galois group G = Gal (Fp∞K ∕ K) is given. In the last few years, it turned out that the Artin pattern AP(K) = (τ(K), κ(K)) consisting of targets τ(K) = (ClpL) and kernels κ(K) = (ker JL|K) of class extensions JL|K: Clp K → ClpL to unramified abelian subfields L|K of the Hilbert p-class field Fp1K only suffices for determining the two-stage approximation M = G ∕ G'' of G. Additional techniques had to be developed for identifying the group G itself: searching strategies in descendant trees of finite p-groups, iterated and multilayered IPADs of second order, and the cohomological concept of Shafarevich covers involving relation ranks. This enabled the discovery of three-stage towers of p-class fields over quadratic base fields K = ℚ(√ d) for p ∈ {2, 3, 5}. These non-metabelian towers reveal the new phenomenon of various tree topologies expressing the mutual location of the groups G and M.
Image encryption based on Arnold transformation
Authors: Essaid Mouhsin , Jarjar Abdou , Akharraz Ismail , Saaidi Abderrahim , Mouhib Ali
Published: September 2022

In this paper we present a new color image encryption method based on Arnold transformation and logistic chaotic map. The proposed approach uses the Arnold matrix modified and adapted to simultaneously make a permutation and confusion to image pixels using logistic map, then shifting pixel thus obtained will be put in. The result and analysis take shelter our cryptosystem against static attack and exhaustive.
On the conjecture of Alon-Tarsi
Authors: Gamas Carlos
Published: September 2022

The Alon-Tarsi Conjecture states that for even n, the number of even latin squares of order n differs from the number of odd latin squares. In this note we prove that this conjecture is true if and only if there exists a permutation ζ ∈ Sn2 and a spherical function, φ, such that φ(ζ) ≠ 0.
On the catenarian property and minimal prime ideals of amalgamations of rings
Authors: Izelgue L. , Ouzzaouti Omar
Published: September 2022

In this paper, we investigate the transfer of the notion of catenarian rings to amalgamated duplication of a ring along an ideal; our result provides original illustrating examples. Then, we establish necessary and sufficient conditions under which A ⋈f J is a MP--ring. By the way, we study the minimality and the height of special prime ideals of amalgamations of rings.
Elliptic curves over the ring F_q[e], e^3 = e^2
Authors: Boulbot Aziz , Chillali Abdelhakim , Mouhib Ali
Published: September 2022

Let Fq be a finite field of q elements, where q is a power of a prime number p greater than or equal to 5. In this paper, we study the elliptic curve denoted Ea,b(Fq[e]) over the ring Fq[e] where e3 = e2 and (a,b) ∈ (Fq[e])2. In a first time, we study the arithmetic of the ring Fq[e], e3 = e2. In addition, using the Weierstrass equation, we define the elliptic curve Ea,b(Fq[e]). The study of this elliptic curve helped us to define two elliptic curve over the finite field Fq. We finish this paper by given a classification of the elements in Ea,b(Fq[e])
Quartic number fields and prime ideal
Authors: El Fadil Lhoussain , Boughaleb Omar
Published: September 2022

Based on Newton polygon techniques, for every prime integer p, a p-integral basis of ℤK, and the factorization of the principal ideal pℤK into prime ideals of ℤK are given, where K is a quintic number field defined by an irreducible trinomial X5 + aX2 + b ∈ ℤ[X].
Units of some abelian imaginary number fields of type (2, 4)
Authors: Azizi Abdelmalek , Jerrari Idriss , Zekhnini Abdelkader , Talbi Mohammed
Published: September 2022

Let K be an abelian imaginary number field of type (2,4), i.e. the Galois goup Gal(K ∕ ℚ) ≅ (ℤ ∕ 2 ℤ) × (ℤ ∕ 4ℤ). In this paper, we determine the fundamental system of units of some field K.
Imaginary biquadratic Polya fields of the form Q(sqrt(d), sqrt(-2))
Authors: Zekhnini Abdelkader
Published: September 2022

A number field k, with ring of integers Ok, is called a Polya field if the module of integer-valued polynomials over Ok has a regular basis. In this paper, we characterize all imaginary biquadratic P\olya fields of the form ℚ(√d, √-2) where d is a square-free integer.
On some metabelian 3-groups and applications I
Authors: Derhem A. , Talbi Mohammed , Talbi M. M.
Published: September 2022

Let G be a 3-class group of maximal class, and γ2(G) = [G,G] its derived group. Assume that the commutator factor group G ∕ γ2(G) is of type (3,3) and the transfers Vχ2(G) → γ2(G) and VH→ γ2(G) are trivial, where χ2(G) is the biggest subgroup of G such that [χ2(G), γ2(G)] ⊆ γ4(G), and, H is one of its maximal normals subgroups different to χ2(G). Then G is completely determined with the isomorphism class groups of maximal class defined by B.Nebelung in [24]. Moreover the group G is realised. At the end numerical examples illustrating the results are given.
NP-completeness of the random binary quasi-dyadic coset weight problem and the random binary quasi-dyadic subspace weight problem
Authors: Diagne M. K. , Cayrel Pierre Louis , Gueye Cheikht T.
Published: September 2022

In 1978, the Syndrome Decoding Problem (SDP) was proven to be NP-complete for random binary codes. Since then, the security of several cryptographic applications relies on its hardness. In 2009, Finiasz extended this result by demonstrating the NP-completeness of certain sub-classes of the SDP (see [9]). In this paper, we prove the NP-completeness of the SDP for a specific family of codes: the random binary quasi-dyadic codes. We use a reduction to the Four Dimensional Matching Problem (proven NP-complete).
Explicit integral basis for a family of sextic field
Authors: Sahmoudi Mohamed
Published: September 2022

Let L be a sextic number field which is a relative quadratic over cyclic cubic field K. In this paper, we will explicitly construct an integral basis under appropriate technical hypothesis where L is not split arithmetically. As a consequence of this theoretical result the discrimiinant dL∕ℚ of L will be straightforwardly computed.
On the non-special part of the Weierstrass semigroup of n-points of a smooth curve (its minimal number of generators)
Authors: Ballico Eduardo
Published: September 2022

We study spanned vector bundles on the blowing up of ℙ3 at a few points. We give a full classification for very low c1 and study some more general case.
Perfect powers including duplications
Authors: Jakimczuk Rafael
Published: September 2022

Let N(x) be the number of perfect powers not exceeding x and let M(x) be the number of perfect powers with duplications not exceeding x. We prove the formulae M(x) ∼ N(x), (M(x)-N(x)) ∼ √ N(x). Let A(x) be the number of duplicated perfect powers not exceeding x. We prove the formula A(x) ∼ √N(x). The number of ways that a duplicated perfect power can be expressed as perfect power we call multiplicity of the perfect power. Let A2(x) be the number of duplicated perfect powers with multiplicity 2 not exceeding x and let A3(x) be the number of duplicated perfect powers with multiplicity greater than 2 not exceeding x. We prove the formulae A2(x) ∼ √N(x), A3(x) ∼ ∛N(x). We also prove more precise asymptotic formulae for M(x), M(x)-N(x), A(x), A2(x) and A3>(x).
Andrew's singular overpartitions without multiples of k
Authors: Naika M. S. Mahadeva , Nayaka Shivaprasada
Published: September 2022

In a recent work G. E. Andrews gave definition of combinatorial objects which he called singular overpartitions and proved that these singular overpartitions, which depend on two parameters δ and i, can be enumerated by function Cδ,i(n), the number of overpartitions of n such that no part divisible by δ and only parts ≡ ∓ i (mod δ) may be overlined. In this paper, we establish several infinite families of congruences Ckδ,i(n), the number of singular overpartitions of n without multiples of k such that no part divisible by δ and only parts ≡ ∓ i (mod δ) may be overlined. For example, for all n ≥ 0 and α ≥ 0, C54,1(22α+5n + (7 ∙ 2α+3+1) ∕ 3) ≡ 0 (mod 22).
Existence of weighted pseudo almost periodic mild solutions for nonlocal semilinear evolution equations
Authors: Liu Xueliang , Cao Junfei , Zhang Zhi , Liu Huazhu
Published: September 2022

In this paper, we are concerned with new weighted pseudo almost periodic solutions of the semilinear evolution equations with nonlocal conditions
x'(t)=A(t)x(t) + f(t,x(t)), x(0) = x0 + g(x), t ∈ ℝ+.
By applying the Banach fixed point theorem, the theory of the measure theory, the theory of semigroups of operators to evolution families and the properties of a class of new weighted pseudo almost periodic functions which proposed by Blot et al. Recently, some reasonable conditions for the existence and uniqueness of new weighted pseudo almost periodic mild solutions are established.
Uniqueness and value-sharing of meromorphic functions in class A
Authors: Waghamore Harina P. , Husna V.
Published: September 2022

In this paper, we study the value distribution and the uniqueness of meromorphic function in Class A. We obtain significant result which improve as well as generalize the result of C.C.Yang and Xinhou Hua.
On orthogonal reverse semiderivations on prime semirings
Authors: Lee Yong Hoon , Kim Kyung Ho
Published: September 2022

In this paper, we introduce the notion of orthogonal reserve semiderivation on semirings. Some characterizations of semiprime semirimgs are obtained by means of orthogonal reverse semiderivations. We also investigate conditions for two reverse semiderivations on semiring to be orthogonal.