Publicação
Homomorphisms and congruences on regular semigroups with associate inverse subsemigroups
| Resumo: | 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. |
|---|---|
| Autores principais: | Billhardt, B. |
| Outros Autores: | Giraldes, E.; Smith, M. Paula Marques; Martins, Paula Mendes |
| Assunto: | Associate inverse subsemigroups *-homomorphisms *-congruences regular semigroup associate inverse subsemigroup homomorphism |
| Ano: | 2013 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso restrito |
| Instituição associada: | Universidade do Minho |
| Idioma: | inglês |
| Origem: | RepositóriUM - Universidade do Minho |
| Resumo: | 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. |
|---|