Study on quasi-Γ-hyperideals in Γ-semihypergroups

Abstract

In this paper, we are dealing with [Formula: see text]-semihypergroups which are a generalization of a semigroup, [Formula: see text]-semigroup and a semihypergroup. We introduce the notion of generalized quasi-[Formula: see text]-hyperideal i.e. of [Formula: see text]-quasi-[Formula: see text]-hyperideal, [Formula: see text]-right [Formula: see text]-hyperideal and [Formula: see text]-left [Formula: see text]-hyperideal in [Formula: see text]-semihypergroups and different properties of them and relations between them are studied.