Homomorphisms and congruences on regular semigroups with associate inverse subsemigroups

被引：0
|
作者：
B. Billhardt
E. Giraldes
P. Marques-Smith
P. Mendes Martins
机构：
[1] Universität Kassel,FB 10 Mathematik und Naturwissenschaften
[2] U.T.A.D.,Centro de Matemática
[3] CM-UTAD,undefined
[4] Universidade do Minho,undefined
来源：
Periodica Mathematica Hungarica | 2013年 / 66卷
关键词：
regular semigroup; associate inverse subsemigroup; homomorphism; 20M10;
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学科分类号：
摘要：
An associate inverse subsemigroup of a regular semigroup S is a subsemigroup T of S containing a least associate x* of each x ∈ S, in relation to the natural partial order ≤. In [1] the authors describe the structure of regular semigroups with an associate inverse subsemigroup, satisfying two natural conditions. In this paper we describe all *-homomorphisms and all *-congruences on such semigroups.
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页码：221 / 243
页数：22
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