Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/23845
Título: | A class of unary semigroups admitting a rees matrix representation |
Autor(es): | Billhardt, Bernd Giraldes, E. Smith, M. Paula Marques Martins, Paula Mendes |
Palavras-chave: | Regular semigroup Associate inverse subsemigroup Completely simple semigroups Variety |
Data: | 29-Abr-2013 |
Editora: | Springer |
Revista: | Semigroup Forum |
Resumo(s): | In [1] the authors introduced the notion of an associate inverse subsemigroup of a regular semigroup, extending the concept of an associate subgroup of a regular semigroup, ¯rst presented in [3]. The main result of the present paper, Theorem 2.15, establishes that a regular semigroup S with an associate inverse subsemigroup S* satisfies three simple identities if and only if it is isomorphic to a generalised Rees matrix semigroup M(T; A;B; P), where T is a Clifford semigroup, A and B are bands, with common associate inverse subsemigroup E(T) satisfying the referred identities, and P is a sandwich matrix satisfying some natural conditions. If T is a group and A, B are left and right zero semigroups, respectively, then the structure described provides a usual Rees matrix semigroup with normalised sandwich matrix, thus generalising the Rees matrix representation for completely simple semigroups. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/23845 |
DOI: | 10.1007/s00233-013-9496-5 |
ISSN: | 0037-1912 |
Arbitragem científica: | yes |
Acesso: | Acesso restrito UMinho |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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USRMR_BEPP_april2013.pdf Acesso restrito! | artigo completo | 166,89 kB | Adobe PDF | Ver/Abrir |