R-Unipotent Congruences on Eventually Regular Semigroups

• 来源期刊: 代数集刊（英文版）
• 关键词: eventually regular semigroup congruence congruence pair
• 年，卷（期）: 2007,（1）
• 页码范围: 37-52
• 页数: 16页
• 语种: 英文

摘要

A semigroup S is called an eventually regular semigroup if for every a ∈ S,there exists a positive integer n such that an is regular. In this paper, the R-unipotent,inverse semigroup and group congruences on an eventually regular semigroup S are described by means of certain congruence pairs (ξ, K), where ξ is a normal congruence on the subsemigroup <E(S)> generated by E(S), and K is a normal subsemigroup of S.