一种逆半群幂等元分离扩张(英文)  

A Type of Idempotent-separating Extensions of Inverse Semigroups

作　　者：李勇华[1] 何勇[2] 

机构地区：[1]华南师范大学数学科学学院,广州广东510631 [2]湖南科技大学计算机学院,湘潭湖南411201

出　　处：《数学进展》2009年第5期616-620,共5页Advances in Mathematics（China）

基　　金：Supported by Natural Scientific Foundation of Hunan(No.04JJ40001);Scientific Research Foundation of Hunan Education Department(No.05A014)

摘　　要：本文刻画了一种逆半群幂等分离扩张.首先用Clifford半群和基本逆半群建立了Y-积,然后证明了每个Y-积是一个逆半群,而且每个逆半群可以用这种方式构造.In this paper,we describe a type of idempotent-separating extensions of inverse semigroups.We first establish the Y-product of a Clifford semigroup by a fundamental inverse semigroup.And then we prove that every the Y-product is an inverse semigroup and every inverse semigroup is isomorphic to a Y-product.

关 键 词：逆半群 Y-积 CLIFFORD半群 

分 类 号：O152.7[理学—数学]