Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/1493
Registo completo
Campo DC | Valor | Idioma |
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dc.contributor.author | Gonçalves, Suzana Mendes | - |
dc.contributor.author | Sullivan, R. P. | - |
dc.date.accessioned | 2005-05-09T14:39:30Z | - |
dc.date.available | 2005-05-09T14:39:30Z | - |
dc.date.issued | 2005 | - |
dc.identifier.citation | "Bulletin of the Australian Mathematical Society". ISSN 0004-9727. 71 (2005) 205-213. | eng |
dc.identifier.issn | 0004-9727 | por |
dc.identifier.uri | https://hdl.handle.net/1822/1493 | - |
dc.description.abstract | Suppose X is a set with cardinal p and let q be an infinite cardinal less or equal than p. Let B=BL(p,q) denote the Baer-Levi semigroup defined on X. In 1984, Howie and Marques-Smith showed that, if p=q, then BB^{-1}=I(X), the symmetric inverse semigroup on X, and they described the subsemigroup of I(X) generated by B^{-1}B. In 1994, Lima extended that work to `independence algebras', and thus also to vector spaces. In this paper, we answer the natural question: what happens when p>q? We also show that, in this case, the analogues BB^{-1} for sets and GG^{-1} for vector spaces are never isomorphic, despite their apparent similarities. | eng |
dc.description.sponsorship | Fundação para a Ciência e a Tecnologia (FCT) – Programa Operacional “Ciência, Tecnologia, Inovação” (POCTI) | por |
dc.language.iso | eng | eng |
dc.publisher | Australian Mathematical Society | eng |
dc.rights | openAccess | eng |
dc.subject | Inverse linear transformation semigroups | eng |
dc.title | Inverse semigroups generated by linear transformations | eng |
dc.type | article | eng |
dc.peerreviewed | yes | eng |
oaire.citationStartPage | 205 | por |
oaire.citationEndPage | 213 | por |
oaire.citationIssue | 2 | por |
oaire.citationVolume | 71 | por |
dc.subject.wos | Science & Technology | por |
sdum.journal | Bulletin of the Australian Mathematical Society | 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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invsgpslineartransf.pdf | 103,93 kB | Adobe PDF | Ver/Abrir |