bluuebunny/crossref_metadata_2025 huggingface dataset:
On curvatures of homogeneous Finsler-Kropina space
Authors: Narasimhamurthy Senajji Kamplappa , Chandru Keriyappa
Published: September 2022

In Finsler geometry, one of the central problem is to study curvature properties of special class of Finsler spaces such as homogeneous-Finsler spaces. In this paper, we give an explicit formula of the S-curvature of homogeneous Finsler space with Kropina metric and proved that a homogeneous Kropina space with almost isotropic S-curvature must have vanishing S-curvature. We also derived an explicit formula of the mean Berwald curvature Eij of homogeneous Finsler-Kropina space.
Ricci solitons on para-Kenmotsu manifolds
Authors: Bagewadi C. S. , Adigond Sushilabai
Published: September 2022

The object of the present paper is to study Ricci solitons in para-Kenmotsu manifolds when the Weyl-conformal curvature tensor satisfies some geometric properties like flatness, semi-symmetry, pseudo-symmetry, Ricci-pseudosymmetry and Einstein semi-symmetry.
Singular values of two-parameter families of functions arising from Apostol-Genocci polynomials of higher order
Authors: Sajid Mohammad
Published: September 2022

The singular values of two-parameter families of functions arising from Apostol-Genocchi polynomials of higher order are investigated. For this purpose, we consider the functions fλ,μ(z) = λ ((ez+1) ∕ (2z))μ, μ>0, z ∈ ℂ ∖{0} and gλ,η(z) = λ (2z∕ (ez+1))η, η >0, z ∈ ℂ; λ ∈ ℝ ∖ {0}. In this paper, it is shown that the functions fλ,μ(z) and gλ,η(z) have infinitely many singular values. The critical values of fλ,μ(z) lie in the exterior of the open disk and interior of the open disk, whereas the critical values of gλ,η(z) lie in the interior of the open disk and exterior of the open disk according to two different regions.
On some powerful ideals of semigroups
Authors: Basar Abul , Abbasi Mohammad Yahya
Published: September 2022

Let S be a non trivial additive cancellation commutative semigroup having a zero 0 with the quotient group G= { s1 - s2 | s1 , s2 ∈ S }. A prime ideal P of S is called strongly prime if for a, b ∈ G, whenever a +b ∈ P, we get a ∈ P or b ∈ P. We show that a prime ideal of S is strongly prime ⇔ it is powerful. Finally, we prove that if O is an oversemigroup of S and S and O have the nonzero ideal I where I is powerful in O, then 3I is a powerful ideal of S.
Characterization of total line-cut graphs
Authors: Basavanagoud B. , Desai Veena R.
Published: September 2022

The total line-cut graph of a graph G = (V,E), denoted by TLc(G), is the graph with point set E(G) ∪ W(G), where W(G) is the set of cutpoints of G, in which two points are adjacent if and only if they correspond to adjacent lines of G or correspond to adjacent or coadjacent cutpoints of G or one point corresponds to a line e of G and the other corresponds to a cutpoint c of G such that e is incident with c. In this paper, we offer a structural characterization of total line-cut graphs.
On the X-ranks associated to a linear subspace
Authors: Ballico Eduardo
Published: September 2022

Let X ⊂ ℙN be an integral non-degenerate variety. For any q ∈ ℙN the X-rank rX(q) of q is the minimal cardinality of a set S ⊂ X whose linear span contains q. For any r-dimensional linear subspace V ⊂ ℙN the X-rank rX(V) of V is the minimal cardinality of a set S ⊂ X whose linear span contains V. We define several invariants related to the X-rank, e.g. the open rank of V, r+1 integers rX (qi), 0 ≤ i ≤ r, with rX(qi) ≤ rX(qj) for all i < j and q0, ... , qr a basis of V and minimal ηX(V) := rX(q0) + ... + rX(qr). We always have ηX(V) ≥ rX(V) and we give an upper bound for ηX(V), which ensures that we may compute rX(V) with knowledge of q0, ... , qr and in particular check if ηX(V) = rX(V) (the general case, but not always). The integer rX(qr) is the minimal integer t such that V is spanned by points of X-rank ≤ t. Many of these invariants of V give lower bounds for the invariants of any linear subspace of V.
Perfect powers between two consecutive squares
Authors: Jakimczuk Rafael
Published: September 2022

In this note we obtain an upper bound for the number of perfect powers between two consecutive squares. We also prove some theorems on perfect powers between two consecutive squares. In this way we improve former results of the author.
Edge injective domination of graphs
Authors: Alqesmah Akram , Alwardi Anwar , Rangarajan R.
Published: September 2022

Let G = (V,E) be a simple graph. A subset X of E is called edge injective dominating set (edge Inj-dominating set) if for every edge f ∈ E - X there exists an edge g ∈ X such that |Γ(f,g)| ≥ 1, where |Γ(f,g)| is the number of common edge neighbors between the edges f and g. The minimum cardinality of such edge dominating set denoted by γ'in(G) and is called edge injective domination number (edge Inj-domination number) of G. In this paper, we introduce the edge injective domination number, injective independence edge number (Inj-independence edge number) β'in(G) and edge injective domatic number (edge Inj-domatic number) d'in(G) of a graph G. Exact values for some standard graphs, bounds and some interesting results are established.
Lower bounds for blow-up time of coupled nonlinear Klein-Gordon equations
Authors: Piskin Erhan
Published: September 2022

This paper deals with the blow up of coupled nonlinear Klein-Gordon equations. Lower bounds for the time of blow up is derived if the solutions blow up.
Toeplitz and weighted Toeplitz operators on weighted sequence spaces
Authors: Datt Gopal
Published: September 2022

Weighted Toeplitz operator Tφβ on H2(β) with φ ∈ L∞(β) is defined as Tφβ = Pβ Mφβ, where Pβ is the orthogonal projection of L2(β) onto H2(β). The paper describes some properties of weighted Toeplitz operators induced by some specific symbols.
On weak hub-integrity of graphs
Authors: Mahde Sultan Senan , Mathad Veena
Published: September 2022

The concept of weak hub-integrity is introduced as a new measure of the stability of a graph G and it is defined as WHI(G) = min{ |S| + me(G - S) }, where S is a hub set and me(G - S) denotes the number of edges in the largest component of G - S. In this paper, the weak hub-integrity of some graphs is obtained. The relations between weak hub-integrity and other parameters are determined. Also, some results connecting the weak hub-integrity and binary graph operations are established.
Some results on totally n-star-paranormal operators
Authors: Rashid M. H.
Published: September 2022

Additional properties for new class called totally n-∗-paranormal operators are obtained. Invariant subspaces, reducing subspaces of such operators are discussed. An asymmetric Putnam-Fuglede theorem for totally n-∗-paranormal operators are studied.
Controllability for a second-order evolution inclusion
Authors: Cernea Aurelian
Published: September 2022

By using a suitable fixed point theorem a sufficient condition for controllability is obtained for a class of second-order evolution inclusions.
Real forms of strange Lie superalgebras and the Frobenius-Schur method
Authors: Hsin Ching-I
Published: September 2022

This article provides a classification of real forms of strange Lie superalgebras by applying the Frobenius-Schur method of representation theory.
On the Chebyshev polynomial coefficient problem of some subclasses of bi-univalent functions
Authors: Altinkaya Sahsene , Yalcin Sibel
Published: September 2022

We study a newly constructed subclass of bi-univalent functions. Furthermore, we establish Chebyshev polynomial bounds for the coefficients, and Fekete-Szego inequality, for the class Sσ(μ ,t).
Existence of solutions for a nonhomogeneous p(x)-biharmonic problem
Authors: Qabil Abdelbaset , Baalal Azeddine
Published: September 2022

This article is devoted to study the existence of solutions of nonlinear problem of fourth order governed by p(x)-biharmonic operator under certain conditions on f. Our technical approach is based on the Minty-Browder theorem applied to compact operators and operators of (S+) type.
An estimation of the V-conjugation operator
Authors: Sadikovic Samra
Published: September 2022

In this work we prove a new estimation of the V-conjugation operator, which connects it with the difference of the mean values of function f ∈ L1(G).
On alpha-semiderivations and commutativity of Gamma-rings
Authors: Kim Kyung Ho
Published: September 2022

In this paper, we introduce the notion of a α-semiderivation on Γ-rings, and we try to extend some results for derivations of Γ-rings or near-rings to a more general case for α-semiderivations of prime Γ-rings.
On sfp-injective and sfp-flat modules
Authors: Selvaraj C. , Prabakaran P.
Published: September 2022

Let R be a ring. A left R-module M is said to be sfp-injective if, for every exact sequence 0 → K → L with K and L super finitely presented left R-modules, the induced sequence Hom(L, M) → Hom(K, M) → 0 is exact. A right R-module N is called sfp-flat if, for every exact sequence 0 → K → L with K and L super finitely presented left R-modules, the induced sequence 0 → N ⊗ K → N ⊗ L is exact. We study precovers and preenvelopes by sfp-injective and sfp-flat modules, including their properties under (almost) excellent extensions of rings
Convergence results for nearly asymptotically quasi-nonexpansive mappings in hyperbolic spaces
Authors: Saluja Gurucharan Singh
Published: September 2022

The aim of this article is to study modified three-step iterations for nearly asymptotically quasi-nonexpansive mappings and establish strong and Δ-convergence theorems for above mentioned iteration scheme and mappings in the setting of hyperbolic spaces. Our results extend and generalize the corresponding results of many others.
Characteristic submultigroups of a multigroup
Authors: Ejegwa P. A. , Ibrahim A. M.
Published: September 2022

In this paper, the notion of characteristic submultigroups is introduced and some of its homomorphic properties are presented. It is shown that every characteristic submultigroup of a multigroup is normal. Some related results are established with respect to factor multigroups and normal submultigroups.
An alternative proof of Miyashita's Theorem in a skew polynomial ring II
Authors: Yamanaka Satoshi
Published: September 2022

Y. Miyashita gave characterizations of a separable polynomial and a Hirata separable polynomial in skew polynomial rings. In the previous paper, the author and S. Ikehata gave direct and elementary proofs of Miyashita's theorems in skew polynomial rings of Automorphism type B[X;ρ] and Derivation type B[X;D], respectively. The purpose of this paper is to give proofs for them in the general skew polynomial ring B[X;ρ,D].
Existence of solutions for a nonlocal (P_1(x), P_2(x))-Laplace equation with dependence on the gradient
Authors: Lapa Eugenio Cabanillas , Martinez Willy D. Barahona , Flores Eduardo V. Trujillo
Published: September 2022

The object of this work is to study the existence of solutions for a nonlocal (p1(x), p2(x)) Laplace equation with dependence on the gradient. We establish our results by using the degree theory for operators of (S+) type in the framework of variable exponent Sobolev spaces.
Generalization of essentially slightly compressible modules
Authors: Baupradist Samruam
Published: September 2022

In this paper, we introduce and investigate essentially M-slightly compressible modules and essentially M-slightly compressible injective modules. It has been shown that over hereditary ring R and M is an injective right R-module. If N is an essentially M-slightly compressible module then every essential submodule A of N containing a direct summand of N. For any ring R and uniform right R-module M, we can show that N is an essentially M-slightly compressible injective module if and only if N is an M-slightly compressible injective module.
Property (m) under perturbations
Authors: Rashid M. H. M.
Published: September 2022

A Banach space operator is said to be obeys property (m) if the isolated points of the spectrum σ(T) of T which are eigenvalues of finite multiplicity are exactly those points λ of the spectrum for which T - λ is an upper semi-Browder. In this article, we study the stability of property (m), for a bounded operator acting on a Banach space, under perturbation by finite rank operators, by nilpotent operators, quasi-nilpotent operators, Riesz operator or algebraic operators commuting with T.
The Laplacian with Robin boundary conditions involving signed measures
Authors: Khalid Akhlil
Published: September 2022

In this work we propose to study the general Robin boundary value problem involving signed smooth measures on an arbitrary domain Ω of ℝd. A Kato class of measures is defined to make the associated form (ℰμ, ℱμ) a closed one. Moreover, the associated operator Δμ is a realization of the Laplacian on L2(Ω). In particular, when |μ| is locally infinite everywhere on ∂Ω, Δμ is the laplacian with Dirichlet boundary conditions. On the other hand, we will prove that the semigroup (e-tΔμ)t≥0 is sandwiched between (e-tΔμ+)t≥0 and (e-tΔ-μ-)t≥0 and we will see that the converse is also true.
A generic uniqueness result for an interpolation problem for the join of a tangential variety gamma(x) and several copies of the variety X in P^2
Authors: Ballico Eduardo
Published: September 2022

Let X ⊂ ℙr be an integral and non-degenerate variety non-singular in codimension 1. Let τ(X,2) =τ(X) ⊂ ℙr be the tangential variety of X. Set n := dim(X). For any integer b>2 let τ(X,b)$ be the join of τ(X) and b-2 copies of X. Mimicking the notion of weakly k-degenerate varieties introduced by Chiantini and Ciliberto we give a conditions on X assuring that a general q ∈ τ(X,b) is in the linear span of a unique scheme Z ⊂ X with Z = v ∪ {p1, ... , pb-2} with v connected of degree 2 and v ⊂ Xreg.
Stepanov-like almost automorphic mild solutions for semilinear fractional differential equations
Authors: Cao Junfei , Huang Cheng
Published: September 2022

This work is concerned with the existence and uniqueness of Stepanov-like almost automorphic mild solutions for a class of semilinear fractional differential equations
Dtα x(t) = Ax(t) + Dtα-1F(t,x(t)), t ∈ ℝ,
where 1 < α < 2, A is a linear densely defined operator of sectorial type of ω < 0 on a complex Banach space X and F is an appropriate function defined on phase space. The fractional derivative is understood in the Riemann-Liouville sense. The results obtained are utilized to study the existence and uniqueness of Stepanov-like almost automorphic mild solutions for a fractional relaxation-oscillation equation.
On pathos block line graph of a tree
Authors: Nagesh Hadonahalli Mudalagiraiah
Published: September 2022

Let T be a tree of order n ≥ 2. A pathos line graph of T, written PL(T), is a graph whose vertices are the edges and paths of a pathos of T, with two vertices of PL(T) adjacent whenever the corresponding edges of T are adjacent or the edge lies on the corresponding path of the pathos. An extension is called a pathos block line graph, denoted by PBL(T), and is similar to PL(T), except that the adjacency of pathos vertices. For this class of graphs we discuss the planarity, outer planarity, maximal outer planarity, minimally nonouter planarity, and crossing number one properties of these graphs.
Homomorphism of cuts of multigroups
Authors: Ejegwa P. A. , Ibrahim A. M.
Published: September 2022

The notion of multigroups via multisets is of interest in non-classical groups. In this paper, we propose the notion of homomorphism of cuts of multigroups and obtain some related results. Some homomorphic properties of upper cut of multigroups are also discussed.
Li-Yau estimates for a semilinear parabolic equation on an evolving manifold
Authors: Abolarinwa Abimbola
Published: September 2022

Let (M,g(t)) be a complete Riemannian manifold of dimension n, we obtain Li-Yau type gradient estimates on positive bounded solutions to the following semilinear parabolic equation
∂u(t,x) ∕ ∂t = Δ u(t,x) + a(x) us(t,x) -λu(t,x),
where (t,x) ∈ ([0,T] × M), T < ∞, s > 1, λ ∈ ℝ and a ∈ C2(M) on evolving Riemannian metrics g(t) with bounded below Ricci tensor. The application of our gradient estimates yields the classical differential Harnack inequality, which compares a solution at some time with those at previous time.
Rings whose elements are represented by at most three commuting indempotents
Authors: Danchev Peter V.
Published: September 2022

We completely characterize up to an isomorphism those rings whose elements are expressed as the sum of two, respectively three, commuting idempotents or are minus an idempotent. This strengthens well-known joint results in the subject due to Hirano-Tominaga (Bull. Austral. Math. Soc., 1988), Ahn-Anderson (Rocky Mount. J. Math., 2006), Danchev-McGovern (J. Algebra, 2015), Ying et al. (Can. Math. Bull., 2016), as well as own results established by Danchev (Bull. Iran. Math. Soc., 2019) and (Boll. Un. Mat. Ital., 2019).
Nonlinear multivalued problems with variable exponent and diffuse measure data in anisotropic space
Authors: Konate Ibrahime , Ouaro Stanislas
Published: September 2022

We study a nonlinear elliptic problem governed by a general anisotropic operator with variable exponents and Radon diffuse measure data. We start by proving the existence of a renormalized solution and we establish that the notion of renormalized solution is equivalent to the notion of entropy solution. Finally, we show the uniqueness of the entropy solution.
On nonexistence of warped product submanifolds of locally conformal Kaehler manifolds
Authors: Lone Mehraj Ahmad , Choudhary Majid Ali , Jalal Tanweer
Published: September 2022

The present note is devoted to the study of warped product submanifolds in locally conformal Kaehler manifolds. The second last section deals with the study of the existence of semi-slant submanifolds while in the last section we investigate the existence of doubly warped and doubly twisted product CR-submanifolds. Infact, we have generalized results of ([10], [11]) to locally conformal Kaehler manifolds.
Transversal domination in graphs
Authors: Alwardi Anwar , S. R. Nayaka , Puttaswamy
Published: September 2022

Let G = (V, E) be a graph. A dominating set S of G which intersects every minimum dominating set in G is called a transversal dominating set. The minimum cardinality of a transversal dominating set is called the transversal domination number, denoted by γtd(G). In this paper, we begin to study this parameter. We calculate γtd(G) for some families of graphs. Further some bounds and relations with other domination parameters are obtained for γtd(G).
Decay of energy for a class of p-Laplacian wave equation with nonlinear damping and source terms
Authors: Yahiaoui Kamel , Mokeddem Soufiane
Published: September 2022

In this paper the energy decay of global solution for a class of p-Laplacian wave equation with a nonlinear dissipation and source term are discussed, which is based on multipliers technique and some integral inequalities.
Totally geodesic real hypersurfaces in complex quadric
Authors: Siddiqui Aliya Naaz , Shahid Mohammad Hasan
Published: September 2022

The Complex quadric is a complex hypersurface in complex projective space. It also can be regarded as a kind of real Grassmann manifold of compact type with rank 2. On the other hand Jacobi fields along geodesics of a given Riemannian manifold satisfy a well known differential equation, called Jacobi equation. This equation naturally inspires the so-called Jacobi operator. The purpose of this article is to give a non-existence result for any totally geodesic real hypersurfaces with recurrent normal Jacobi operator RN and also with recurrent structure Jacobi operator Rξ in Qm. In the continuation, we obtain classifications of totally geodesic real hypersurfaces in Qm with recurrent Ricci tensor Ric.
Commuting multiplicative generalized derivations on Lie ideals of semiprime rings
Authors: Huang Shuliang
Published: September 2022

Let R be a semiprime ring with characteristic different from two and L a noncentral square-closed Lie ideal of R. Suppose that R admits a multiplicative generalized derivation (F,d) satisfying d(L) ⊆ L. In the present paper, we shall prove that d is commuting on L if one of the following conditions holds: (i) F([x,y]) = ∓ [x,d(y)]; (ii) F(x ∘ y) = ∓ (x ∘ d(y)); (iii) F([x,y]) = ∓ (F(y)x); (iv) F([x,y]) = ∓ (F(x)y); (v) F(x ∘ y) = ∓ (F(y)x); (vi) F(x ∘ y) = ∓ (F(x)y) for all x,y ∈ L.
Multivalued anisotropic problem with Robin boundary condition involving diffuse Radon measure data and variable exponents
Authors: Konate Ibrahime , Ouaro Stanislas
Published: September 2022

In this paper we study a nonlinear anisotropic elliptic problem under Robin type boundary condition governed by a general anisotropic operator with variable exponents and diffuse Radon measure data which does not charge the sets of zero p(.)-capacity. We prove an existence and uniqueness result of entropy or renormalized solution.
A note on multipliers and commutativity of prime rings
Authors: Kim Kyung Ho
Published: September 2022

In this paper, we investigate the commutativity of prime rings admitting multipliers of R satisfying certain identities and some related results have also been discussed.
On consecutive perfect powers and fractional parts
Authors: Jakimczuk Rafael
Published: September 2022

We obtain various formulae where consecutive perfect powers and fractional parts appear.
On the sub-supersolution principle for p(x)-Laplacian equations
Authors: Ayazoglu Rabil , Akbulut Sezgin , Akkoyunlu Ebubekir
Published: September 2022

This paper deals with the sub-supersolution method for the p(x) -Laplacian Dirichlet problem. A sub-supersolution principle for the Dirichlet problems involving the p(x)-Laplacian is established by using induction method.
Prime ideal factorization and p-integral basis of quintic number fields defined by x^5+ax+b
Authors: El Fadil Lhoussain
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 + aX + b ∈ ℤ[X].
Entropy solutions for a nonlinear unilateral p(x) parabolic problems with f - div F data
Authors: Mekkour Mounir
Published: September 2022

We study the nonlinear p(x) parabolic problems with obstacle and f - divF data.
A blind signature based on the DLP and RSA cryptosystem
Authors: Ezziri Salma , Khadir O.
Published: September 2022

In this work we propose a new blind signature protocol based on the Schnorr scheme and the RSA algorithm. We also study its security and complexity.
Some results involving automorphisms in prime rings
Authors: Abdelwanis A. Y. , Boua Abdelkarim
Published: September 2022

In this paper, we study the commutativity of prime rings admitting automorphisms which satisfy certain identities.
Existence solutions for a class of nonlinear parabolic equations with variable exponents and L^1 data
Authors: Yazough Chihab
Published: September 2022

In this article, we study the problem
(∂ b(x,u) ∕ ∂ t) - div a(x, t, u, ∇ u) + div φ(u) = f, in Ω × ]0, T],
u = 0 on ∂ Ω × ]0,T[
b(x,u)(t=0) = b(x,u0). in Ω,
in the framework of generalized Sobolev spaces, with b(x,u) unbounded function on u. The main contribution of our work is to prove the existence of renormalized solutions when the second term f belongs to L1(QT).
ECC over the ring F_{s^d}[X]/(X^2) by using a password
Authors: Tadmori A. , Chillali Abdelhakim , Zaine M.
Published: September 2022

In this work, we will present an example of encryption and decryption, by using the elliptic curve defined over the ring A2 = F2d[ε], where d is a positive integer and ε2 = 0. The motivation for this work came from the observation that communications, industrial automation and many more. For majority of these applications, security is a vital issue. Cryptography plays an important role in providing data security. In a first time, we describe these curves defined over this ring. Then, we study the algorithmic properties by proposing effective implementations for representing the elements and the group law. In other we give an example of encrypted message with a secret key.
Nonlinear elliptic equations with measure data in Musielak-Orlicz spaces
Authors: Aberqi Ahmed , Bennouna J. , Elmassoudi M.
Published: September 2022

In this paper we will prove the existence of solutions of the unilateral problem
Au - div Φ(x,u) + H(x, u, ∇ u) = μ
in Musielak spaces, where A is a Leray-Lions operator defined on D(A) ⊂ W01 LM (Ω), μ ∈ L(Ω) + W-1 EM'(Ω), where M and M' are two complementary Musielak-Orlicz functions and both the first and the second lower terms Φ and H satisfies only the growth condition and u ≥ ζ where ζ is a measurable function.
Renormalized solution of nonlinear parabolic equations without sign condition and general measure data
Authors: Bouajaja A. , Marah Amine , Redwane Hichem
Published: September 2022

We give an existence result of a renormalized solution for a class of nonlinear parabolic equations (∂b(u) ∕ ∂ t) - div (a(x, t, ∇ u)) + h(u) |∇u|p = μ, where the right side is a general measure and b(u) is a strictly increasing C1-function with b(0)=0, - div(a(x, t, ∇ u)) is a Leray--Lions type operator with growth |∇u|p-1 in ∇ u and h: ℝ → ℝ+ is a continuous positive function that belongs to L1(ℝ).
Solvability of nonlinear anisotropic elliptic unilateral problems with variable exponent
Authors: Salmani A. , Akdim Youssef
Published: September 2022

In this paper, we study in the anisotropic Sobolev spaces with variable exponent W01, p(.)(Ω), the existence result of unilateral problem associated to the equations of the form,
-∑i=1N ∂i ai(x, u, ∇ u) = g,
where the right hand side f belongs to L1(Ω).
Existence of renormalized solutions for nonlinear elliptic problems in weighted variable-exponent space with L^1-data
Authors: Akdim Youssef , Allalou Chakir , El Gorch Nezha
Published: September 2022

In this paper we study the existence of a renormalized solution for the nonlinear p(x)--elliptic problem in the Weighted--Variable--Exponent Soblev spaces, of the form: - div (a(x, u, ∇ u)) + H(x, u, ∇ u) = f ∈ Ω, where the right-hand side f belong to L1(Ω) and H(x, s, ξ) is the nonlinear term satisfying some growth condition, but no sign condition on s.
Under totally geodesic variety of Geod-CP^n
Authors: Chillalli Abdelhakim
Published: September 2022

ℂℙn is a variety whose all geodesics are closed and periodic of the same period π. We can apply all studies made by M. Sarih in his thesis, see ([1]), in particular dim(Geodℂℙn) = 4n - 2. In this paper we will find some results concerning the open problem in [1], page 56.
Existence of a renormalized solution for some nonlinear anisotropic elliptic problems
Authors: Akdim Youssef , Elansari Mohammed , Rhali Soumia Lalaoui
Published: September 2022

In this paper, we study a general class of nonlinear anisotrpic elliptic problems associated with the differential inclusion β(u) - div(a(x, D(u) + F(u)) ∋ f in Ω, where f ∈ L∞(Ω). A vector field a(. , .) is a Caratheodory function. Using trunction techniques and the generalized monotonicity method in the functional spaces we prove the existence of renormalized solutions for L∞-data.
Some results of transitivity for QTAG-modules
Authors: Hasan Ayazul
Published: September 2022

For γ an ordinal number, we investigate the conditions on a QTAG-module M which will insure that M is transitive (fully transitive) whenever Hγ(M) is transitive (fully transitive). Specifically, we show that if M/Hγ(M) is a direct sum of countably generated modules and Hγ(M) is fully transitive, then M is fully transitive. The same result is established for transitivity except that  is restricted to be a countable ordinal. We also show that M is transitive if Hγ(M) is transitive, whenever M/Hγ(M) is totally projective and γ is an ordinal number. It is found that there exist QTAG-modules that are not potentially transitive.
A theoretical framework for two-parameter semigroups
Authors: Akkouchi Mohamed , Houimdi Mohamed , Lalaoui Rhali My. Hicham
Published: September 2022

Here, we present a theoretical framework for two-parameter semigroups of bounded linear operators on a Banach space. Our approach relies on a new definition of the infinitesimal generator of two-parameter semigroups. This definition, in the case of C0-two parameter semigroups, allows trajectory to be differentiable on the nonnegative cone of the plane, when the initial state is in the domain of this generator. We provide also the abstract Cauchy problem satisfied by these trajectories. We prove some theoretical and general results concerning relationships between this generator and the infinitesimal generators of the components. We investigate commutativity relations and precise the domains of their validity. We establish the extension of the Hille-Yoshida known for one-parameter semigroups. We provide some examples and we give an application to the product semigroup.
Presentation matrices of torsion modules over polynomial rings
Authors: Charkani Mohammed Elhassani , Najim Ahmed
Published: September 2022

Let R be a commutative local ring with unit. For R[X]-modules which are R-free of finite rank, we give presentation matrices which are square of minimal order. Some applications to modules over group rings are also given.
Cosine operator functions in R^2
Authors: Vugdalic Ramiz , Halilovic Sanela
Published: September 2022

In this paper, we consider the topic from the theory of cosine operator functions in 2-dimensional real vector space, which is an interplay between functional analysis and matrix theory. For the various cases of a given real matrix A= [α , β; γ , δ] we find out the appropriate cosine operator function C(t)= [a(t), b(t); c(t), d(t)], (t \in R) in a real vector space R2 as the solutions of the Cauchy problem C''(t)=AC(t), C(0)=I, C'(0)=0.
S - Curvature of Homogeneous Finsler space with special (a, b)-metrics
Authors: S M Vanithalakshmi , S K Narasimhamurthy
Published: September 2022

In this paper, we derive the formula for S-curvature of homogeneous Finsler space with special (α, β)-metric F=α+(β2/α) and further proved that the almost isotropic S-curvature must vanishes S-curvature. Also we find the explicit formula of the mean Berwald curvature.
On multiplicative generalized (a, b)-derivations in prime rings
Authors: Ali Asma , Bano Ambreen , Rahaman Md. Hamidur
Published: September 2022

Let R be an associative ring with center Z(R). A mapping F:R → R is called a multiplicative generalized derivation on R if there exists a derivation d on R such that F(xy)=F(x)y+xd(y) for all x,y ∈ R. Let α, β be endomorphisms of R. A mapping F:R → R (not necessarily additive) is said to be a multiplicative generalized (α, β)-derivation if there exists an (α, β)-derivation d on R such that F(xy)=F(x)α(y)+β(x)d(y) holds for all x,y ∈ R. In this paper we investigate some identities involving multiplicative generalized (α, β)-derivation in a prime ring R and obtain commutativity of R.
Sums where fractional parts appear
Authors: Jakimczuk Rafael
Published: September 2022

In this article we examine sums where fractional parts appear. These sums are a generalization of the well-known De la Vallee Poussin's formula.
On symmetric bi-derivations and commutativity of prime rings
Authors: Ho Kim Kyung
Published: September 2022

In this paper, we study the commutativity of prime rings satisfying certain identities involving symmetric bi-derivations on rings and some related results have also been discussed.
When every finitely presented proper ideal is regular
Authors: Squalli Jawad
Published: September 2022

In this paper we introduce and investigate a class of those rings in which every finitely presented proper ideal is regular. We establish the transfer of this notion to the trivial ring extension, direct product and homomorphic image, and then generate new and original families of rings satisfying this property.
Rigged null hypersurfaces in almost paracontact metric manifolds
Authors: Ngakeu F. , Djomako A.C. , Ndombol Bitjong
Published: September 2022

Given an almost paracontact metric manifold $(\overline {M}, \overline{ \phi},\overline {\eta}, \xi, \overline {g})$, we study lightlike hypersurfaces $M$ of the semi-Riemannian manifold $(\overline {M},\overline{g})$ transversal to the structure vector field $\xi$. The latter is then a rigging for $M$ and defines a null section $E$ of the radical distribution of $M$ and a screen distribution which turns out to be always semi-invariant. We show that leaves of an integrable screen distribution in such hypersurfaces $M$ are almost paracontact metric manifolds too. When the ambient space $(\overline {M}, \overline{ \phi},\overline {\eta}, \xi, \overline {g})$ is para-Sasakian, we show that the screen distribution cannot be conformal and that $E$ is a geodesic vector field in $(M, \nabla),$ where $\nabla$ is the connection induced on $M$ by Levi-Civita connection of $\overline {g}$ and the local null rigging $N=\xi-\frac{1}{2}E$. We also find necessary and sufficient conditions for the leaves of the screen distribution to be para-Sasakian too and finally we investigate integrability conditions for some additional distributions induced on $M$ by the structure $(\overline {M}, \overline{ \phi},\overline {\eta}, \xi, \overline {g})$.
Derivations and dimensionally nilpotent derivations in Lie triple algebras
Authors: Dembega Abdoulaye , Konkobo Amidou , Ouattara Moussa
Published: September 2022

In this paper, we first study derivations in non nilpotent Lie triple algebras. We determine the structure of derivation algebra according to whether it admits an idempotent or a pseudo-idempotent. We study the multiplicative structure of non nil dimensionally nilpotent Lie triple algebras. We show that when n=2p+1 the adapted basis coincides with the canonical basis of the gametic algebra G(2p+2,2) or this one obviously associated to a pseudo-idempotent and if n=2p then the algebra is either one of the precedent case or a conservative Bernstein algebra.
Ranks and sets evincing them for the tangent developable
Authors: Ballico Edoardo
Published: September 2022

Let X ⊆ PPr be an integral and non-degenerate variety. We study the complement in the k-secant variety of X of the set of all points with X-rank k. In the case k=2 this is contained in the tangent developable τ(X) of X and we study its X-ranks and the sets evincing them when X is a smooth OADP, i.e. X=n, r=n+1 and a general point of PP2n+1 is contained in a unique secant line of X.
Counting negative eigenvalues of one-dimensional Schrodinger operators with singular potentials
Authors: Karuhanga Martin , Eugene Shargorodsky
Published: September 2022

In this paper, we extend the well known estimates for the number of negative eigenvalues of one-dimensional Schrodinger operators with potentials that are absolutely continuous with respect to the Lebesgue measure to the case of strongly singular potentials.
On P-2-Bezout Rings
Authors: El Alaoui Haitham , Mouanis Hakima
Published: September 2022

In this paper, we introduce a generalization of the well -known notion of a P-Bezout rings and a 2-Bezout rings, which we call a P-2-Bezout rings. We establish the transfer of this notion to trivial ring extensions and to pullbacks. There results provide example of non 2-Bezout ring which is P-2-Bezout ring and example of non P-Bezout ring which is P-2-Bezout ring. Our aim is to provide new classe of commutative rings.
The resolvent operator of singular conformable fractional Dirac system
Authors: Allahverdiev Bilender , Tuna Huseyin
Published: September 2022

We discuss the resolvent operator of a singular conformable fractional Dirac system. We obtain integral representations for the resolvent of this system in terms of the spectral function.
Maximal non-decreasing subring of its quotient field
Authors: Ayache Ahmed
Published: September 2022

An integral domain R is called maximal non-going down subring of its quotient field, if R is not going down, and every proper overring of R is going down. We do prove that R is a maximal non-going down subring of its quotient field if and only if R  is a quasi-local domain with maximal ideal m and its integral closure R is a semi-local Prufer domain with two maximal ideals M, N such that M intersect N = m, the extension R is not going down, and R is the unique quasi-local subring of R.
Existence of embeddings of varieties in projective spaces whose points are spanned by low degree smoothable zero-dimensional subschemes
Authors: Ballico Edoardo
Published: September 2022

Let X be an integral projective variety. Set n:= dim X. Let e(X) ≥ 2n+1 be the embedding dimension of X (we may take e(X)=2n+1 if X is smooth). Fix integers δ and r ≥ e(X). We prove the existence of many embeddings j:X↪Pr such that deg(X) ≥ δ and every point of Pr is spanned by a low degree smoothable zero-dimensional subscheme of X.
Extended centroid of hyperrings
Authors: Yazarli Hasret , Davvaz Bijan , Yilmaz Damla
Published: September 2022

In this paper, the notation of extended centroid is applied to hyperring. We show that the extended centroid C of a hyperring is a hyperfield. Also, we show that if a, b ∈ S such that axb = bxa for all x ∈ R, then there exists q ∈ C such that qa = b where R is a prime hyperring and S be the central closure of R. Finally we give some relations between the extended centroid and derivation in hyperring.
A simple proof of the existence of the Dickman function
Authors: Jakimczuk Rafael
Published: September 2022

In this article we give a simple proof of the existence of the Dickman's function related with smooth numbers. We only use the concept of integral of a continuous function.
On alpha-semiderivations and commutativity of prime rings
Authors: Kim Kyung Ho
Published: September 2022

In this paper, we introduce the notion of α-semiderivation on prime rings, and we try to extend some results for derivations of rings or near-rings to a more general case for α-semiderivations of prime rings.
When every finitely generated prime proper ideal is regular
Authors: Squalli Jawad
Published: September 2022

In this paper we introduce and investigate a class of those rings in which every finitely generated prime proper ideal is regular. We establish the transfer of this notion to the trivial ring extension, direct product and homomorphic image, and then generate new and original families of rings satisfying this property.
Evolution train algebras
Authors: Ouattara Moussa , Savadogo Souleymane
Published: September 2022

Through this paper, we show that the criteria for real evolution algebra to be a baric algebra can be extended to any evolution algebra over a commutative field of characteristic ≠2. Then we prove that an evolution algebra E is a train algebra of rank r + 1 if and only if the kernel of its weight function is nil of nil-index r > 1. We also study special train evolution algebra and characterize idempotents, power-associativity and automorphism in evolution train algebra. Finally we classify up to dimension 5, indecomposable evolution nil-algebra of nil-index 4 that are not power-associative.
Degree exponent sum energy of a graph
Authors: Basavanagoud Bommanahal , Eshwarachandra Chitra
Published: September 2022

In this paper, we introduce a matrix associated with a graph called degree exponent sum matrix. We compute the degree exponent sum polynomial of graph operations, cycle related graphs, product related graphs and transformation graphs. We give bounds for the largest degree exponent sum eigenvalue and degree exponent sum energy of a graph.
Derivative of driving point impedance functions at right half plane
Authors: Örnek Bülent Nafi
Published: September 2022

The purpose of this paper is to provide a result which concerns with the boundary behaviour of positive real functions. Z(s) = Z(b)+a1(s - b)+ a2 (s - b)2 +... is an analytic function defined in the right half of the s-plane.We derive inequalities for the modulus of Z(s) function, |Z'(c)|, by assuming the Z(s) function is also analytic at the boundary point s = c on the imaginary axis, where c = iImb and finally, the sharpness of these inequalities is proved.
Non-Lipschitz stochastic functional differential equations on Riemanian manifolds
Authors: Gbaguidi Amoussou Amour , Djibril Moussa Freedath , Ogouyandjou Carlos , Diop Mamadou Abdoul
Published: September 2022

In this paper, we investigate the existence and uniqueness of solution for a class of stochastic functional differential equations with delay on compact manifolds. The results are established under non-Lipschitz conditions on the coefficients. As an application, a geometrical example is provided to illustrate the results obtained.
Cryptosystem based on lattice and elliptic curve
Authors: Chillali Abdelhakim , Elhassani Mohammed , Mouhib Ali
Published: September 2022

In this work, we propose a new way to use lattice theory to build a public key cryptosystem and digital signature scheme. This cryptosystem based on the approximate closest vector problem and the problem of the discrete logarithm on an elliptic curve defined on a finite local ring. At first, we choose a point on the elliptic curve and we will make the exchange of keys to the Diffie-Hellman. We transform the coordinates of this point into a matrix which gives us the private key which will serve us for encryption and decryption.
Primitive idempotents and constacyclic codes over finite chain rings
Authors: Charkani Mohammed , Kabore Joel
Published: September 2022

Let R be a commutative local finite ring. In this paper, we construct the complete set of pairwise orthogonal primitive idempotents of R[X]/  where g is a regular polynomial in R[X]. We use this set to decompose the ring R[X]/  and to give the structure of constacyclic codes over finite chain rings. This allows us to describe generators of the dual code C' of a constacyclic code C and to characterize non-trivial self-dual constacyclic codes over finite chain rings.
Entropy solutions for nonlinear parabolic equations in Musielak Orlicz spaces without Delta_2-conditions
Authors: El Haji Badr , El Moumni Mostafa , Talha Abdeslam
Published: September 2022

In this paper, we are interested in results concerning entropy solutions for nonlinear parabolic equations in Musielak Orlicz spaces without Δ2-condition.
Conformal mappings of generalized quasi-Einstein manifolds admitting special vector fields
Authors: Dey Santu , Pal Buddhadev , Bhattacharyya Arindam
Published: September 2022

Einstein manifolds form a natural subclass of the class of quasi-Einstein manifolds and plays an important role in geometry as well as in general theory of relativity. In this work, we investigate conformal mappings of generalized quasi-Einstein manifolds. We consider a conformal mapping between two generalized quasi-Einstein manifolds Vn and Vn. We also find some properties of this transformation from Vn to Vn and some theorems are proved. Considering this mapping, we examine some properties of these manifolds. After that, we also study some special vector fields under this mapping on these manifolds and some theorems about them are proved.
On geometry of warped product pseudo-slant submanifolds on generalized Sasakian space forms
Authors: Pahan Sampa
Published: September 2022

In the present paper, we consider warped product pseudo-slant submanifolds of generalized Sasakian space forms. We obtain an interesting inequality in terms of the second fundamental forms and the scalar curvature using Gauss equation. Next we compute to characterize the relation between the warping function and the squared norm of mean curvature of warped product pseudo-slant submanifolds of generalized Sasakian space forms under some certain conditions. Finally, we derive warped product pseudo-slant submanifolds in generalized Sasakian space forms to become Riemannian product with various mathematical and physical expressions.
On the existence of solutions of some functional integral equations in L^p(R_+)
Authors: Bousselsal Mahmoud
Published: September 2022

In this paper, we study the existence of solutions for a functional integral equations by using Darbo's fixed point theorem and a measure of noncompactness on the spaces Lp(R+), 1 <p<+∞. The obtained result generalizes and extends several one obtained earlier in many papers and monographs. An example which shows the applicability of our result is also included.
Eigenvalues for the p-Biharmonic Dirichlet-Steklov problem with weights
Authors: Laghzal Mohamed , Touzani Abdelfattah
Published: September 2022

This note is concerned with a weighted Dirichlet-Steklov problem driven by the p-biharmonic operator. Our approach is based on variational method and Ljusternick-Schnirelmann principle, we establish that the above problem admits a non-decreasing sequence of non-negative eigenvalues.
Blow-up of solutions for a parabolic Kirchhoff type equation with logarithmic nonlinearity
Authors: Pişkin Erhan , Cömert Tuğrul
Published: September 2022

This study deals with the parabolic type Kirchhoff equation with logarithmic nonlinearity in a bounded domain. We obtain the finite time blow-up of solutions. This improves and extends some previous studies.
On periodic shadowing, transitivity, chain mixing and expansivity in uniform dynamical systems
Authors: Mangang Khundrakpam Binod , Akoijam Sonika
Published: September 2022

In this paper we extend some results on the notions such as Expansive, Pseudo Orbit Tracing Property (P.O.T.P.), Chain Transitive, Periodic Shadowing, Chain Recurrent. We prove that if an expansive dynamical system (X,f) on compact uniform space has P.O.T.P., then it has periodic shadowing. If a continuous self map f on a compact uniform space has ﬁnite shadowing, then f has P.O.T.P. We ﬁnd that a dynamical system (X,f) on compact uniform space has shadowing property if (X,f) has periodic shadowing provided f is expansive. If f is chain mixing on a compact uniform space (X,U), then fn is chain transitive for each n ≥ 1. If f has the periodic shadowing then fn has periodic shadowing for all n > 1. The periodic shadowing is invariant of topological conjugacy provided that the conjugacy and its inverse are Lipschitz.
Conformal vector fields on Finsler square metrics
Authors: M R Rajeshwari , S K Narasimhamurthy , M K Roopa
Published: September 2022

Abstract: In this paper, we characterise the conformal vector fields on square metric. Further, we obtain the explicit expressions of conformal vector fields on a square metric of weakly isotropic flag curvature with the condition that b=|β|α is constant.
A note on the autocovariance of p-series linear process
Authors: Kamalov Firuz
Published: September 2022

In this note, we provide tight boundaries for the autocovariance function of a stochastic linear process with p-series coefficients.
Peran Kalsium dan Magnesium pada Kehamilan
Authors: Irwinda Rima
Published: September 2022

Mikronutrien memiliki peran penting dalam outcome kehamilan. Defisiensi mikronutrien berhubungan dengan outcome perinatal yang buruk serta berdampak pada kualitas kesehatan di masa yang akan datang. Di antara berbagai jenis mikronutrien, mineral kalsium dan magnesium diketahui bersifat esensial dalam masa kehamilan. Kalsium dan magnesium memiliki peran fisiologis yang luas, di antaranya berperan dalam proses pembentukan tulang, metabolisme energi, sekresi hormon, komunikasi antarsel, dan fungsi homeostasis lainnya. Beberapa penelitian menunjukkan adanya hubungan antara defisiensi kalsium dengan risiko preeklamsia yang lebih tinggi, oleh karena itu perlu diperhatikan kecukupan kalsium dalam masa kehamilan, serta komponen nutrisi lain yang dapat mengoptimalkan absorpsi kalsium, seperti magnesium dan vitamin D3.