Abundant Semigroups with a Multiplicative Adequate Transversal  

作　　者：GUO Xiao Jiang Department of Mathematics.Yunnan University.Kunming 650091,P.R.China 

出　　处：《Acta Mathematica Sinica,English Series》2002年第2期229-244,共16页数学学报（英文版）

基　　金：supported by the foundation of Yunnan University ;the Natural Science Foundation of Yunnan Province

摘　　要：The aim of this paper is to investigate abundant semigroups with a multiplicative adequate transversal.Some properties and characterizations for such semigroups are obtained.In particular. we establish the structure of this class of abundant semigroups in terms of left normal bands,right normal braids and adequate semigroups with some simple Compatibility conditions.Finally.we apply this structure to some special cases.The aim of this paper is to investigate abundant semigroups with a multiplicative adequate transversal.Some properties and characterizations for such semigroups are obtained.In particular. we establish the structure of this class of abundant semigroups in terms of left normal bands,right normal braids and adequate semigroups with some simple Compatibility conditions.Finally.we apply this structure to some special cases.

关 键 词：Abundant semigroup Adequate semigroup Left(Right)normal band 

分 类 号：O152.7[理学—数学]