Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/14500
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Campo DC | Valor | Idioma |
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dc.contributor.author | Blyth, T. S. | - |
dc.contributor.author | Giraldes, E. | - |
dc.contributor.author | Smith, M. Paula Marques | - |
dc.date.accessioned | 2011-11-21T14:47:56Z | - |
dc.date.available | 2011-11-21T14:47:56Z | - |
dc.date.issued | 1994 | - |
dc.identifier.issn | 0017-0895 | por |
dc.identifier.uri | https://hdl.handle.net/1822/14500 | - |
dc.description.abstract | A unit regular semigroup [1, 4] is a regular monoid S such that H1 intersection A(x) ≠ Ø for every element x of S, where H1, is the group of units and A(x) = {y in S; xyx = x} is the set of associates (or pre-inverses) of x. A uniquely unit regular semigroupis a regular monoid 5 such that |H1 intersection A(x)| = 1. Here we shall consider a more general situation. Specifically, we consider a regular semigroup S and a subsemigroup T with the property that |T intersection A(x) = 1 for every x in S. We show that T is necessarily a maximal subgroup Hα for some idempotent α. When Sis orthodox, α is necessarily medial (in the sense that x = xαx for every x, product of idempotents) and αSα is uniquely unit orthodox. When S is orthodox and α is a middle unit (in the sense that xαy = xy for all x, y in S), we obtain a structure theorem which generalises the description given in [2] for uniquely unit orthodox semigroups in terms of a semi-direct product of a band with a identity and a group. | por |
dc.language.iso | eng | por |
dc.publisher | Oxford University Press | - |
dc.rights | openAccess | por |
dc.subject | Orthodox semigroup | por |
dc.subject | Regular monoid | por |
dc.subject | Medial idempotent | por |
dc.subject | Associate elements | por |
dc.title | Associate subgroups of orthodox semigroups | por |
dc.type | article | por |
dc.peerreviewed | yes | por |
dc.relation.publisherversion | http://journals.cambridge.org | por |
sdum.publicationstatus | published | por |
oaire.citationStartPage | 163 | por |
oaire.citationEndPage | 171 | por |
oaire.citationIssue | 2 | por |
oaire.citationTitle | Glasgow Math. J. | por |
oaire.citationVolume | 36 | por |
dc.identifier.doi | 10.1017/S0017089500030706 | - |
dc.subject.wos | Science & Technology | por |
sdum.journal | Glasgow Mathematical Journal | 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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Asso_subg.pdf | 2,83 MB | Adobe PDF | Ver/Abrir |