Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/11632
Título: | Some orthodox monoids with associate inverse subsemigroups |
Autor(es): | Billhardt, Bernd Giraldes, Emília Smith, M. Paula Marques Martins, Paula Mendes |
Palavras-chave: | Associate inverse subsemigroup Orthodox semigroup F-semigroups |
Data: | Jan-2011 |
Editora: | Taylor and Francis |
Revista: | Communications in Algebra |
Citação: | "Communications in Algebra". ISSN 0092-7872. 39:1 (2011) 32-49. |
Resumo(s): | By an associate inverse subsemigroup of a regular semigroup $S$ we mean a subsemigroup $T$ of $S$ containing a least associate of each $x \in S$, in relation to the natural partial order $\leq_S$ in $S$. In this paper we investigate a class of orthodox monoids with an associate inverse subsemigroup and obtain a known description of uniquely unit regular orthodox semigroups as a corollary. Also, by considering a more general situation, we identify the homomorphic image of a kind of semidirect product of a band with identity by an inverse monoid, thus extending a known result for unit regular orthodox semigroups. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/11632 |
DOI: | 10.1080/00927870903428254 |
ISSN: | 0092-7872 1532-4125 |
Versão da editora: | http://dx.doi.org/10.1080/00927870903428254 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
BEPP2_published.pdf | fulltext | 194,32 kB | Adobe PDF | Ver/Abrir |