Eventually regular Dubreil-Jacotin semigroups

被引：1
|
作者：
Blyth, TS [1 ]
Pinto, GA
机构：
[1] Univ St Andrews, Math Inst, St Andrews KY16 9AJ, Fife, Scotland
[2] Inst Piaget, Unidade Invest Matemat, Almada, Portugal
来源：
SEMIGROUP FORUM | 2004年 / 69卷 / 03期
关键词：
eventually regular semigroup; Dubreil-Jacotin semigroup; weak middle unit; medial idempotent;
D O I：
10.1007/s00233-004-0136-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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：10
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