Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/27776
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Campo DC | Valor | Idioma |
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dc.contributor.author | Gonçalves, Suzana Mendes | - |
dc.contributor.author | Sullivan, R. P. | - |
dc.date.accessioned | 2014-02-03T14:12:28Z | - |
dc.date.available | 2014-02-03T14:12:28Z | - |
dc.date.issued | 2013 | - |
dc.date.submitted | 2013-01 | - |
dc.identifier.issn | 0129-2021 | por |
dc.identifier.uri | https://hdl.handle.net/1822/27776 | - |
dc.description.abstract | If V and W are vector spaces over the same field, we let P(V,W) denote the set of all partial linear transformations from V into W (that is, all linear mappings whose domain and range are subspaces of V and W, respectively). If $\theta\in P(W,V)$, then P(V,W) is a so-called `generalised semigroup' of linear transformations under the `sandwich operation': $\alpha *\beta=\alpha\circ\theta\circ\beta$, for each $\alpha,\beta\in P(V,W)$. We denote this semigroup by $P(V,W,\theta)$ and, in this paper, we characterise Green's relations on it: that is, we study equivalence relations which determine when principal left (or right, or 2-sided) ideals in $P(V,W,\theta)$ are equal. This is related to a problem raised by Magill and Subbiah in 1975. We also discuss the same idea for important subsemigroups of $P(V,W,\theta)$ and characterise when these semigroups satisfy certain regularity conditions. | por |
dc.description.sponsorship | Fundação para a Ciência e a Tecnologia (FCT) | por |
dc.language.iso | eng | por |
dc.publisher | Southeast Asian Mathematical Society | por |
dc.rights | restrictedAccess | por |
dc.subject | sandwich operation | por |
dc.subject | generalised linear transformation | por |
dc.subject | Green's relations | por |
dc.subject | regular | por |
dc.subject | unit-regular | por |
dc.subject | completely regular | por |
dc.subject | generalized transformation | por |
dc.title | Regular elements and Green's relations in Generalised Linear Transformation Semigroups | por |
dc.type | article | por |
dc.peerreviewed | yes | por |
dc.relation.publisherversion | www.seams-bull-math.ynu.edu.cn | por |
sdum.publicationstatus | in publication | por |
oaire.citationIssue | 1 | por |
oaire.citationTitle | Southeast Asian Bulletin of Mathematics | por |
oaire.citationVolume | 6 | por |
dc.identifier.doi | 10.1142/S179355711350006X | - |
dc.subject.wos | Science & Technology | por |
sdum.journal | Southeast Asian Bulletin of Mathematics | 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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green_generallintransf.pdf Acesso restrito! | Documento único | 154,35 kB | Adobe PDF | Ver/Abrir |