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

作　　者：Kostaq HILA Jani DINE 

机构地区：[1]Department of Mathematics and Computer Science, Faculty of Natural Sciences,University of Gjirokastra

出　　处：《Acta Mathematica Sinica,English Series》2013年第3期609-624,共16页数学学报（英文版）

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.

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 

分 类 号：O152.7[理学—数学] O153.3[理学—基础数学]