Eventually Regular Dubreil-Jacotin Semigroups

被引：0

作者：

T.S. Blyth

G.A. Pinto

机构：

[1] Mathematical Institute,

[2] University of St. Andrews,undefined

[3] Unidade de Investigaçao em Matemática,undefined

[4] Instituto Piaget Almada,undefined

来源：

Semigroup Forum | 2004年 / 69卷

关键词：

Regular Semigroup; Regular Element; Middle Unit;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We derive necessary and sufficient conditions for an ordered eventually regular semigroup to be a Dubreil-Jacotin semigroup. We show that an eventually regular Dubreil-Jacotin semigroup has a biggest idempotent. Necessary and sufficient conditions for this biggest idempotent to be a weak middle unit or to be medial are related to the semigroup being naturally ordered and to the set of regular elements being a subsemigroup.

引用

页码：431 / 440

页数：9

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