Fundamental Regular Semigroups with Quasi-ideal Regular *-Transversals

被引：0

作者：

Wang, Shou-Feng ^{[1
]}

机构：

[1] Yunnan Normal Univ, Dept Math, Kunming 650500, Yunnan, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2015年 / 38卷 / 03期

关键词：

Regular *-transversals; Fundamental semigroups; Fundamental representations; INVERSE; ORDERS;

D O I：

10.1007/s40840-014-0070-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let S be a semigroup and "*" a unary operation on S which satisfies the following identities xx* x = x, x* xx* = x*, x*** = x*, (xy*)* = y** x*, (x* y)* = y* x**. Then, S* = {x*|x is an element of S} is called a regular *-transversal of S in the literatures. Following Munn and Hall's idea, in this paper we construct fundamental regular semigroups with quasi-ideal regular *-transversals by which fundamental representations of regular semigroups with quasi-ideal regular *-transversals are obtained.

引用

页码：1067 / 1083

页数：17