On Green’s relations, 20-regularity and quasi-ideals in Γ-semigroups
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- Hila, K. & Dine, J. Acta. Math. Sin.-English Ser. (2013) 29: 609. doi:10.1007/s10114-012-0027-1
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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.