In this paper, we study the concept of ordered (m, n)-Γ-hyperideals in an ordered LA-Γ-
semihypergroup. We show that if (S, Γ,◦,≤) is a unitary ordered LA-Γ-semihypergroup with …

In this paper, we use the notion of quasi-and bi-ideals to study some properties of locally
associative LA-Γ-semigroups, anti-rectangular LA-Γ-semigroups,(,) simple LA-Γ-semigroups …

It is well known that power associativity and congruences play an important role in the
decomposition of semigroups and Γ-semigroups. In this study, we discuss these notions for …

The concept of left (resp. right) unar groupoid is extended to introduce left (resp. right) unar
LA-semigroup as new subclasses of LA-semigroup. These subclasses are enumerated up to …

In this paper we study fuzzy Γ-ideals and prime, semiprime fuzzy Γideals of a Γ-AG-groupoid
S. We prove that, if S is a Γ-AG-groupoid with left identity, then every fuzzy Γ-ideal of S is …

We consider the intuitionistic fuzzification of the concept of Γ− ideals in a Γ-LA-semigroup S,
and investigate some properties of them. We also prove in this paper the set of all …

A groupoid satisfying the left invertive law: $ ab\cdot c= cb\cdot a $ is called an AG-groupoid
and is a generalization of commutative semigroups. We consider the concept of bi …

In this paper, we characterize the Green's relations R, L, I and the usual relation N defined in
terms of ordered filters on ordered Γ-semigroups in terms of fuzzy subsets. For an ordered Γ …

In this paper, generalized rough\((m, n)\)-(bi-ideals, quasi-ideals and interior ideals) have
been introduced in ordered LA-\(\Gamma\)-semigroups by means of pseudo order of …

Abstract The notion of ${\Gamma} $-semigroups was introduced by Sen in 1981 and that of
fuzzy sets by Zadeh in 1965. Any semigroup can be reduced to a ${\Gamma} $-semigroup …