Homomorphisms and congruences on regular semigroups with associate inverse subsemigroups

An associate inverse subsemigroup of a regular semigroup S is a subsemi- group T of S containing a least associate x* of each x in 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...

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Bibliographic Details
Main Author: Billhardt, B. (author)
Other Authors: Giraldes, E. (author), Smith, M. Paula Marques (author), Martins, Paula Mendes (author)
Format: article
Language:eng
Published: 2013
Subjects:
Associate inverse subsemigroups
*-homomorphisms
*-congruences
regular semigroup
associate inverse subsemigroup
homomorphism
Science & Technology
Online Access:http://hdl.handle.net/1822/14685
Country:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/14685
Description
Summary:An associate inverse subsemigroup of a regular semigroup S is a subsemi- group T of S containing a least associate x* of each x in 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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