On intra-regular and some left regular Γ-semigroups

Original · EN

We characterize the intra-regular Γ-semigroups and the left regular Γ-semigroups M in which xΓM MΓx for every x∈ M in terms of filters and we prove, among others, that every intra-regular Γ-semigroup is decomposable into simple components, and every Γ-semigroup M for which xΓM MΓx is left regular, is decomposable into left simple components.