Equivalence relations in semihypergroups and the corresponding quotient structures

AbstractIn this paper, we introduce and study two equivalence relations in semihypergroups, for which the corresponding quotient structures are monoids and commutative monoids

A class of semihypergroups connected to preordered weak Γ-semigroups

AbstractWe introduce the concept of weak Γ-semigroups as a generalization of Γ-semigroups. Using preordered weak Γ-semigroups, we obtain a class of semihypergroups and we analyze them in this paper. A connection between morphisms of semihypergroups associated with preordered Γ-semigroups and morphisms of preordered structures is also investigated