Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/23845
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Campo DC | Valor | Idioma |
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dc.contributor.author | Billhardt, Bernd | - |
dc.contributor.author | Giraldes, E. | - |
dc.contributor.author | Smith, M. Paula Marques | - |
dc.contributor.author | Martins, Paula Mendes | - |
dc.date.accessioned | 2013-04-29T09:06:10Z | - |
dc.date.available | 2013-04-29T09:06:10Z | - |
dc.date.issued | 2013-04-29 | - |
dc.date.submitted | 2011-10-14 | - |
dc.identifier.issn | 0037-1912 | por |
dc.identifier.uri | https://hdl.handle.net/1822/23845 | - |
dc.description.abstract | 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. | por |
dc.description.sponsorship | This research was financed by FEDER Funds through "Programa Operacional Factores de Competitividade "COMPETE" and by Portuguese Funds through FCT-"Fundacao para a Ciencia e a Tecnologia", within the project PEst-C/MAT/UI0013/2011.This research was also financed by the Portuguese Government through the FCT Fundacao para a Ciencia e a Tecnologia under the project PEst-OE/MAT/UI4080/2011. | por |
dc.language.iso | eng | por |
dc.publisher | Springer | por |
dc.rights | restrictedAccess | por |
dc.subject | Regular semigroup | por |
dc.subject | Associate inverse subsemigroup | por |
dc.subject | Completely simple semigroups | por |
dc.subject | Variety | por |
dc.title | A class of unary semigroups admitting a rees matrix representation | por |
dc.type | article | por |
dc.peerreviewed | yes | por |
sdum.publicationstatus | in publication | por |
oaire.citationStartPage | 1 | por |
oaire.citationEndPage | 15 | por |
oaire.citationIssue | 3 | por |
oaire.citationTitle | Semigroup Forum | por |
oaire.citationVolume | 87 | por |
dc.identifier.doi | 10.1007/s00233-013-9496-5 | por |
dc.subject.wos | Science & Technology | por |
sdum.journal | Semigroup Forum | 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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USRMR_BEPP_april2013.pdf Acesso restrito! | artigo completo | 166,89 kB | Adobe PDF | Ver/Abrir |