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：
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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.
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页码：431 / 440
页数：9
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