On 鈩?regular semigroups having regular *-transversals
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- 作者：Wang Shoufeng and Yun Liu
- 关键词：* ; Transversals ; The ℘ ; regular semigroups ; The idempotent separating congruences ; The group congruences
- 刊名：Semigroup Forum
- 出版时间：May, 2008
- 出版年：2008
- 期刊代码：134_0037-1912
- 类别：mat
- 卷：76
- 期：3
- 页码：561-575
- 数据来源：sp
摘要
Our aim is to investigate the properties and structure of the ℘-regular semigroups having regular *-transversals. We first give two kinds of definitions for regular *-transversals and prove that they are equivalent. A condition for two regular *-transversals of a ℘-regular semigroup to be isomorphic is given. The *-congruences on the ℘-regular semigroups having regular *-transversals are characterized by using the *-congruence triples. In particular, we describe the idempotent separating congruences and the group congruences on such ℘-regular semigroups.