On Green’s Relations, 2~0-regularity and Quasi-ideals in Γ-semigroups
Kostaq, Hila, Jani Jani, Dine · Acta Scientiarum Naturalium Universitatis Sunyatseni · 2013
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.