类型μ恰当半群的结构(英文)  

A Construction of Type μ Adequate Semigroups

作　　者：李勇华[1] 杨玉凤[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》2011年第5期567-574,共8页Advances in Mathematics（China）

基　　金：Supported by Natural Scientific Foundation of Hunan(No.04J J40001);Scientific Research Foundation of Hunan Education Department(No.05A014)

摘　　要：本文的目的是用可消幺半群的强半格和基本恰当半群建立一类恰当半群的结构.首先,引入了类型μ恰当半群,然后构造了一类代数,Y-积.证明了每个Y-积是类型μ恰当半群;反之,每个类型μ恰当半群同构于一个Y-积.In this paper, our aim is to use strong semilattices of cancellative monoids and fundamental adequate semigroups to establish a construction of a class of adequate semigroups. We first introduce the concept of type μ adequate semigroups. Then, we construct a special kind of algebra called Y-product. It is proved that every Y-product is a typeμ adequate semigroup, and every type μ adequate semigroup is isomorphic to a Y-product.

关 键 词：类型μ半群 恰当半群 Y-积 

分 类 号：I152.7[文学—世界文学]