On Green’s Relations, 2~0-regularity and Quasi-ideals in Γ-semigroups

On Green's Relations, 2~0-regularity and Quasi-ideals in Γ-semigroups

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

作者 Kostaq HILA Jani DINE

机构地区 Department of Mathematics and Computer Science

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2013年第3期609-624,共16页 数学学报（英文版）

关键词 F-semigroup Green＇s relation （m n）^-regular F-semigroup 2-regular F-semigroup com-pletely 0-simple ABSORBENCY 0-minimal left （right quasi）-ideal F-semigroup, Green＇s relation, （m, n）^-regular F-semigroup, 2-regular F-semigroup, com-pletely 0-simple, absorbency, 0-minimal left （right, quasi）-ideal

分类号 O152.7 [理学—基础数学] O153.3 [理学—基础数学]

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1Sen, M. K.: On F-semigroups. In: Proceedings of the International Conference on Algebra and its Appli- cations, Dekker Publication, New York, 1981, p. 301.
2Saha, N. K.: On F-semigroup-II. Bull. Cal. Math. Soc., 79, 331-335 (1987).
3Dutta, T. K., Chatterjee, T. K.: Green's equivalences on F-semigroup. Bull. Cal. Math. Soc., 80, 30 35 (1987).
4Chinram, R., Siammai, P.: On Green's relations for F-semigroups and reductive F-semigroups. Intern. J. Algebra, 2(4), 187-195 (2008).
5Hila, K., Dine, J.: Study on the structure of periodic F-semigroups. Mathematical Reports, 13(63), no. 3, 271-284 (2011).
6Croisot, M. R.: Demi-groups inversif et demi-groups reunions de demi-groups simples. Ann. Sci. Ecole. Norm. Sup., 70(3), 361-379 (1953).
7Kapp, K. M.: On Croisot's theory of decompositions. Pacific J. Math., 28(1), 105-115 (1969).
8Hila, K.: On regular, semiprime and quasi-reflexive F-semigroup and minimal quasi-ideals. Lobachevskii J. Mathematics, 29(3), 141-152 (2008).
9Sen, M. K., Saha, N. K.: On F-semigrouI>-I. Bull. Cal. Math. Soc., 78, 180-186 (1986).
10Hila, K.: Filters in ordered F-semigroups. Rocky Mountain J. Math., 41(1), 189-203 (2011).

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3L UO Min-xia.On Abundant Semigroups with Quasi-ideal Adequate Transversals[J].Chinese Quarterly Journal of Mathematics,2010,25(2):257-266.
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Acta Mathematica Sinica,English Series

2013年第3期

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On Green’s Relations, 2~0-regularity and Quasi-ideals in Γ-semigroups

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