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On Green's relations, 2-regularity and quasi-ideals in Γ-semigroups.
- Source :
-
Acta Mathematica Sinica . Mar2013, Vol. 29 Issue 3, p609-624. 16p. - Publication Year :
- 2013
-
Abstract
- In this paper, we introduce the definition of ( m, n)-regularity in Γ-semigroups. We investigate and characterize the 2-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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14398516
- Volume :
- 29
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Acta Mathematica Sinica
- Publication Type :
- Academic Journal
- Accession number :
- 85457565
- Full Text :
- https://doi.org/10.1007/s10114-012-0027-1