Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/11065
Registo completo
Campo DC | Valor | Idioma |
---|---|---|
dc.contributor.author | Giraldes, E. | - |
dc.contributor.author | Smith, M. Paula Marques | - |
dc.contributor.author | Mitsch, H. | - |
dc.date.accessioned | 2010-11-15T12:56:28Z | - |
dc.date.available | 2010-11-15T12:56:28Z | - |
dc.date.issued | 2007 | - |
dc.identifier.citation | “Communications in Algebra”. ISSN 0092-7872. 35:8 (2007) 2552-2567. | por |
dc.identifier.issn | 0092-7872 | por |
dc.identifier.issn | 1532-4125 | por |
dc.identifier.uri | https://hdl.handle.net/1822/11065 | - |
dc.description.abstract | 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). | por |
dc.description.sponsorship | Fundação para a Ciência e a Tecnologia (FCT) | por |
dc.language.iso | eng | por |
dc.publisher | Taylor and Francis | por |
dc.rights | openAccess | por |
dc.subject | E-inversive | por |
dc.subject | E-unitary | por |
dc.subject | Group-congruence | por |
dc.subject | Natural partial order | por |
dc.subject | Monoid | por |
dc.subject | E-inversive E-unitary | por |
dc.title | F-monoids | por |
dc.type | article | por |
dc.peerreviewed | yes | por |
dc.relation.publisherversion | http://www.informaworld.com/smpp/content~db=all~content=a781318841~frm=abslink | por |
sdum.number | 8 | por |
sdum.pagination | 2552-2567 | por |
sdum.publicationstatus | published | por |
sdum.volume | 35 | por |
oaire.citationStartPage | 2552 | por |
oaire.citationEndPage | 2567 | por |
oaire.citationIssue | 8 | por |
oaire.citationVolume | 35 | por |
dc.identifier.doi | 10.1080/00927870701326494 | por |
dc.subject.wos | Science & Technology | por |
sdum.journal | Communications in Algebra | por |
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 |