on fuzzy ordered semigroups abstract the main goal of this paper is to introduce and study some classes of ordered semigroups and to investigate some interesting characterizations theorems of these classes in terms of fuzzy ideals in this respect we characterize weakly regular ordered semigroups for example see theorem 3 4 theorem 3 5 theorem 3 7 intra regular and left weakly regular ordered semigroups see theorem 4 2 theorem 4 4 and semisimple ordered semigroups see theorem 5 5 theorem 5 7 in terms of fuzzy ideals in this regard we define semisimple ordered semigroups and characterize it in terms of fuzzy ideals we also characterize intra regular and weakly regular ordered semigroups in terms of fuzzy ideals

the characterizations of h hemiregular hemirings and h intra hemiregular hemirings in this paper the concepts of fuzzy h bi ideals and fuzzy h quasi ideals of a hemiring are introduced and related properties are investigated the notion of h intra hemiregularity of a hemiring which is a generalization of the notion of intra regularity of a ring is provided some characterizations of h hemiregular hemirings h intra hemiregular hemirings and hemirings that are both h hemiregular and h intra hemiregular are derived in terms of fuzzy left fuzzy right h ideals fuzzy h bi ideals and fuzzy h quasi ideals

fuzzy ideals and semiprime fuzzy ideals in semigroups in this paper we investigate relationships between different definitions of fuzzy ideals of a fuzzy semigroup the equivalence of different definitions of fuzzy ideals of a fuzzy semigroup is obtained we show that the lattice of all f fuzzy ideals of a fuzzy semigroup x is a complete sublattice of the lattice of all fuzzy sets in x when f is an infinitely distributive weak pseudo t norm on l a definition of f semiprime fuzzy ideal of a fuzzy semigroup is given a description of all f semigroups in which every f fuzzy ideal is f semiprime is obtained

fuzzy sylow subgroups abstract an attempt is made to define a fuzzy sylow p subgroup of a finite group some basic results regarding sylow p subgroups are extended to the fuzzy setting in particular fuzzy versions of sylow s theorems are obtained

the embedding of an ordered groupoid into a poe groupoid in terms of fuzzy sets in this paper we prove that if s is an ordered groupoid resp ordered semigroup then the set f of all fuzzy subsets of s is a poe groupoid resp poe semigroup and s is embedded in f a poe groupoid is an ordered groupoid having a greatest element e i e e a a s

on fuzzy ideals of a ring 1 abstract the aim of this paper is to study fuzzy ideals of a ring to characterise regular rings and noetherian rings by fuzzy ideals and to determine all fuzzy prime ideals of the ring z of integers

fuzzy ideals and fuzzy bi ideals in fuzzy semigroups abstract the purpose of this paper is to introduce some basic concepts of fuzzy algebra such as fuzzy left right ideal and fuzzy bi ideal in fuzzy semigroup through the new approach of fuzzy space and fuzzy group introduced by dib 1994 our notion of fuzzy ideal and fuzzy bi ideal includes the classical concepts of fuzzy ideal and fuzzy bi ideal of ordinary semigroup many counterexamples are also given

characterizations of ordered semigroups by the properties of their fuzzy ideals in this paper we characterize different classes of ordered semigroups by the properties of their ideals quasi ideals and bi ideals we also characterize these classes by the properties of their fuzzy ideals fuzzy quasi ideals and fuzzy bi ideals

rings with chain conditions abstract the aim of this paper is to find out some new results about fuzzy ideals to characterise artinian rings and noetherian rings by fuzzy ideals and to give alternative proofs of some well known results of artinian and noetherian rings by fuzzy ideal theoretic techniques

fuzzy ideals generated by fuzzy sets in semigroups abstract in this paper the definition of a fuzzy left right udeal a fuzzy ideal a fuzzy bi ideal a fuzzy interior ideal generated by a fuzzy set in semigroups is given the depictions of them are then examined

bifurcation of 2 periodic orbits from non hyperbolic fixed points we introduce the concept of 2 cyclicity for families of one dimensional maps with a non hyperbolic fixed point by analogy to the cyclicity for families of planar vector fields with a weak focus this new concept is useful in order to study the number of 2 periodic orbits that can bifurcate from the fixed point as an application we study the 2 cyclicity of some natural families of polynomial maps

fuzzy ideals and fuzzy prime ideals of a ring abstract besides obtaining certain ring theoretic analogues some peculiarities of the fuzzy setting are also discussed in particular a study of i the conditions under which a given fuzzy ideal can or cannot be expressed as a union of two proper fuzzy ideals ii the algebraic nature of images and preimages of fuzzy prime ideals under homomorphisms and iii the ring of all the fuzzy cosets of a fuzzy prime fuzzy maximal ideal is carried out

a metatheorem for deriving fuzzy theorems from crisp versions a metatheorem is developed that allows theorems containing references to crisp substructures to be reformulated to refer to fuzzy substructures theorems concerning fuzzy substructures in semigroups rings and lattices are derived in concise fashion from analogous theorems that concern crisp substructures the modularity of the lattice of fuzzy normal subgroups of a group is concisely derived from the modularity of its lattice of crisp normal subgroups the fundamental tool used is a function that represents the algebra of fuzzy subsets of a set as a subdirect product of copies of the algebra of crisp subsets

characterizations of monoids by the properties of their fuzzy subsystems abstract in this paper we initiate the study of fuzzy subsystems of an s system where s is a monoid with zero and s systems are representations of s we introduce the notions of pure fuzzy purely fuzzy maximal and purely fuzzy prime ideals of a monoid s it is shown that the set of purely fuzzy prime ideals of s admits the structure of a topological space called the pure fuzzy spectrum of s we also define a pure fuzzy subsystem of an s system and call an s system fuzzy normal if each of its subsystems is pure fuzzy monoids of which all s systems are fuzzy normal are characterized it is shown among other results that such monoids are right weakly regular

semigroups characterized by c c νqk fuzzy ideals generalizing the notions of q fuzzy ideal q fuzzy quasi ideal and q fuzzy bi ideal the concepts of q k fuzzy ideal q k fuzzy quasi ideal and q k fuzzy bi ideal are defined different classes of semigroups are characterized by the properties of these fuzzy ideals

fuzzy ideals in semigroups abstract the set of all fuzzy ideals of a semigroup is shown to be a convex set having the crisp ideals as extreme points some connections between fuzzy ideals and green s relations are discussed

on pointwise depiction of fuzzy regularity of semigroups abstract in this paper we introduce the notion of a fuzzy regular point and we give a pointwise depiction of fuzzy regularity meanwhile we show an error in j z shen s paper by a counterexample and simplify some proofs of shen finally we propose the concept of a fuzzy weakly left right intra regular subsemigroup and research some of their algebraic properties

on fuzzy ideals and fuzzy bi ideals in semigroups abstract in this paper we give some properties of fuzzy ideals and fuzzy bi ideals of semigroups and characterize semigroups that are left duo left simple and semilattices of subsemigroups in terms of fuzzy ideals and fuzzy bi ideals

fuzzy irreducible ideals in rings abstract in this paper the concept of a fuzzy set is extended by introducing the concept of a fuzzy irreducible ideal in a ring the characteristic function of an irreducible ideal and the level ideals of a fuzzy irreducible ideal are studied the algebraic nature of homomorphic images and preimages of fuzzy irreducible ideals is also examined some other fundamental results pertaining to this concept are discussed

fuzzy regular and inverse subsemigroups abstract regular and inverse a b e a e a v q a b fuzzy subsemigroups are defined the concept of fuzzy analogue of normal subsemigroup is introduced using a type of fuzzy congruence relation a fuzzy quotient subgroup of a fuzzy inverse subsemigroup is constructed some results concerning the interrelationship between fuzzy analogues of unitary subsemigroup inverse subsemigroup and closed subsemigroup of an inverse semigroup are obtained

level subgroups and union of fuzzy subgroups abstract in this paper we investigate the conditions under which a given fuzzy subgroup of a given group can or can not be realized as a union of two proper fuzzy subgroups moreover we formulate the notion of fuzzy subgroup generated by a given fuzzy subset by level subgroups we also give characterizations of fuzzy conjugate subgroups and fuzzy characteristic subgroups by their level subgroups also we discuss the relationship between level subgroups of a given fuzzy subgroup and the level subgroups of its homomorphic image

fuzzy prime spectrum of a ring ii abstract various topological properties of the fuzzy prime spectrum of a ring and certain of its subspaces as well as its functorial nature are discussed

nil radical of fuzzy ideal abstract the concepts of nil radical of a fuzzy ideal and primary fuzzy ideal are introduced and some fundamental propositions proved in particular a structural theorem for a primary fuzzy ideal and the associated prime fuzzy ideal

fuzzy cosets and some fuzzy radicals abstract an attempt is made to formulate fuzzy versions of jacobson and prime radicals of a ring certain basic results pertaining to the notions of jacobson and prime radicals of a ring are extended to the fuzzy setting in particular the following is obtained the jacobson radical prime radical of the ring of fuzzy cosets of in r is zero where r is a commutative ring with identity and is the fuzzy jacobson radical fuzzy prime radical of r

fuzzy semiprime ideals in semigroups abstract in this paper we shall introduce the notion of fuzzy semiprimality in a semigroup which is an extension of semiprimality in it and characterize a semigroup that is a semilattice of simple semigroups in terms of fuzzy semiprimality

extension of stroh s formalism to self similar problems in two dimensional elastodynamics the smirnovsoloblev method for a twodimensional scalar wave equation is generalized to selfsimilar problems in anisotropic elastodynamics the resulting formulation resembles and may be regarded as

certain fuzzy ideals of rings redefined abstract an attempt is made to redefine fuzzy semiprimary fuzzy primary fuzzy prime and fuzzy maximal ideals of rings these fuzzy ideals are characterized by their level ideals fuzzy analogues of various results concerning semiprimary primary prime and maximal ideals are obtained the concept of a fuzzy nil radical of a fuzzy ideal is also formulated and discussed

homomorphisms and fuzzy fuzzy normal subgroups abstract using the idea of a level subgroup of a fuzzy subgroup an attempt is made to study the algebraic nature of fuzzy fuzzy normal subgroups under homomorphisms

generalized fuzzy interior ideals in semigroups using the idea of quasi coincidence of a fuzzy point with a fuzzy set the concept of an a b fuzzy interior ideal which is a generalization of a fuzzy interior ideal in a semigroup is introduced and related properties are investigated

closure systems and l subalgebras abstract let x be a set and l a class of l subsets of x l is a closure system if it is closed with respect to greatest lower bounds if is an l subset then the g l b tf of g l g is said to be generated by we examine closure systems of l subalgebras and propose formulas for the l subalgebra of a required type generated by a given l subset

fuzzy rees congruences on semigroups fuzzy congruences on semigroups and groups have been introduced and studied by samhan 1993 and samhan and ahsanullah 1994 among others here we introduce fuzzy rees congruences on semigroups and fuzzy rees congruences semigroups using these ideas we establish a relation between fuzzy ideals of a semigroup s and fuzzy ideals of a quotient semigroup of s as an important result we prove that the lattice of all fuzzy congruences on a fuzzy congruences semigroup is a distributive lattice moreover we obtain that a homomorphic image of a fuzzy rees congruences semigroup is a fuzzy rees congruences semigroup as well

rings characterized by their fuzzy submodules the notions of pure ideals and pure submodules play an important role in the study of rings and their module categories in this paper we introduce right t pure fuzzy ideals and pure fuzzy submodules of an r module we establish their basic properties and use them to obtain fuzzy theoretic characterizations of right weakly regular rings among other results we prove that a ring r is right weakly regular if and only if each fuzzy submodule of a cyclic r module is pure fuzzy

fuzzy generalized bi ideals in semigroups abstract we introduce the concept of a fuzzy generalized bi ideal of a semigroup which is an extension of the concept of a fuzzy bi ideal and of a nonfuzzy bi ideal and a nonfuzzy ideal of a semigroup and characterize regular semigroups and both intraregular and left quasiregular semigroups in terms of fuzzy generalized bi ideals

fuzzy soft semigroups and fuzzy soft ideals in this paper the notions of fuzzy soft semigroup and fuzzy soft left right ideal are given and the a level set union and intersection of them were studied for each a 0 1 finally fuzzy soft image and fuzzy soft inverse image of fuzzy soft semigroup ideal are discussed