, Volume 29, Issue 3, pp 609-624
Date: 08 Nov 2012

On Green’s relations, 20 -regularity and quasi-ideals in Γ-semigroups

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In this paper, we introduce the definition of (m, n)0-regularity in Γ-semigroups. We investigate and characterize the 20-regular class of Γ-semigroups using Green’s relations. Extending and generalizing the Croisot’s Theory of Decomposition for Γ-semigroups, we introduce and study the absorbent and regular absorbent Γ-semigroups. We approach this problem by examining quasi-ideals using Green’s relations.