Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/11065
Título: | F-monoids |
Autor(es): | Giraldes, E. Smith, M. Paula Marques Mitsch, H. |
Palavras-chave: | E-inversive E-unitary Group-congruence Natural partial order Monoid E-inversive E-unitary |
Data: | 2007 |
Editora: | Taylor and Francis |
Revista: | Communications in Algebra |
Citação: | “Communications in Algebra”. ISSN 0092-7872. 35:8 (2007) 2552-2567. |
Resumo(s): | A semigroup $S$ is called $F-monoid$ if $S$ has an identity and if there exists a group congruence $\rho$ on $S$ such that each $\rho$-class of $S$ contains a greatest element with respect to the natural partial order of $S$ (see Mitsch, 1986). Generalizing results given in Giraldes et al. (2004) and specializing some of Giraldes et al. (Submitted) five characterizations of such monoids $S$ are provided. Three unary operations $\star$, $\circ$ and $-$ on $S$ defined by means of the greatest elements in the different $\rho$-classes of $S$ are studied. Using their properties, a charaterization of $F$-monoids $S$ by their regular part $S^\circ=\{a^\circ:a\in S\}$ and the associates of elements in $S^\circ$ is given. Under the hypothesis that $S^\star=\{a^\star:a\in S\}$ is a subsemigroup it is shown that $S$ is regular, whence of a known structure (see Giraldes et al., 2004). |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/11065 |
DOI: | 10.1080/00927870701326494 |
ISSN: | 0092-7872 1532-4125 |
Versão da editora: | http://www.informaworld.com/smpp/content~db=all~content=a781318841~frm=abslink |
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 | |
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monoids.pdf | Documento principal | 203,86 kB | Adobe PDF | Ver/Abrir |