Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/79996
Registo completo
Campo DC | Valor | Idioma |
---|---|---|
dc.contributor.author | Araújo, C. Mendes | por |
dc.contributor.author | Gonçalves, Suzana Mendes | por |
dc.date.accessioned | 2022-10-10T20:29:17Z | - |
dc.date.available | 2022-10-11T06:00:35Z | - |
dc.date.issued | 2022-02 | - |
dc.date.submitted | 2021-02-04 | - |
dc.identifier.citation | Mendes Araújo, C., & Mendes-Gonçalves, S. (2022). Injective linear transformations with equal gap and defect. Bulletin of the Australian Mathematical Society, 105(1), 106-116. doi:10.1017/S0004972721000344 | - |
dc.identifier.issn | 0004-9727 | por |
dc.identifier.uri | https://hdl.handle.net/1822/79996 | - |
dc.description.abstract | Suppose V is an infinite-dimensional vector space over a field F and let I(V) denote the inverse semigroup of all injective partial linear transformations on V. Given ß in I(V), we denote the domain and the range of ß by dom ß and im ß, respectively, and we call the cardinals g(ß)=codim(domß) and d(ß)=codim(imß) the `gap' and the `defect' of ß, respectively. In this paper, we study the semigroup A(V) of all injective partial linear transformations with equal gap and defect, and characterise Green's relations and ideals in A(V). This is analogous to work by Sanwong and Sullivan in 2009 on a similarly-defined semigroup for the set case, but we show that these semigroups are never isomorphic. | por |
dc.description.sponsorship | The research of the authors was partially financed by Portuguese Funds through FCT (Fundação para a Ciência e a Tecnologia) within the Projects UIDB/00013/2020 and UIDP/00013/2020. | por |
dc.language.iso | eng | por |
dc.publisher | Cambridge University Press | por |
dc.relation | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00013%2F2020/PT | por |
dc.relation | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F00013%2F2020/PT | por |
dc.rights | openAccess | por |
dc.subject | ideals | por |
dc.subject | Green's relations | por |
dc.subject | Injective linear transformations | por |
dc.subject | Quasiresiduals | por |
dc.title | Injective linear transformations with equal gap and defect | por |
dc.type | article | por |
dc.peerreviewed | yes | por |
dc.relation.publisherversion | https://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society/article/abs/injective-linear-transformations-with-equal-gap-and-defect/7B274AACAF3E385DE84825B5A0532BA7 | por |
oaire.citationStartPage | 106 | por |
oaire.citationEndPage | 116 | por |
oaire.citationIssue | 1 | por |
oaire.citationVolume | 105 | por |
dc.identifier.eissn | 1755-1633 | por |
dc.identifier.doi | 10.1017/S0004972721000344 | por |
dc.subject.fos | Ciências Naturais::Matemáticas | por |
dc.subject.wos | Science & Technology | por |
sdum.journal | Bulletin of the Australian Mathematical Society | por |
oaire.version | AM | 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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Injective_linear_transformations_equal_gap_defect.pdf | Injective linear transformations with equal gap and defect | 181,41 kB | Adobe PDF | Ver/Abrir |