On ℘-regular semigroups having regular *-transversals

被引：0
作者：
Wang Shoufeng
Yun Liu
机构：
[1] Yunnan Normal University,Department of Mathematics
[2] Yuxi Teachers College,Department of Mathematics
来源：
Semigroup Forum | 2008年 / 76卷
关键词：
*-Transversals; The ℘-regular semigroups; The idempotent separating congruences; The group congruences;
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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.
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页码：561 / 575
页数：14
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