Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/80236
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Campo DC | Valor | Idioma |
---|---|---|
dc.contributor.author | Mary, Xavier | por |
dc.contributor.author | Patrício, Pedro | por |
dc.date.accessioned | 2022-10-19T08:56:43Z | - |
dc.date.available | 2022-10-19T08:56:43Z | - |
dc.date.issued | 2020 | - |
dc.identifier.citation | Mary, X., & Patrício, P. (2020). Characterizations of special clean elements and applications. Filomat. National Library of Serbia. http://doi.org/10.2298/fil2014847m | - |
dc.identifier.issn | 0354-5180 | por |
dc.identifier.uri | https://hdl.handle.net/1822/80236 | - |
dc.description.abstract | We prove that special clean decompositions of a given element of a ring are in one-to-one correspondence with the set of solutions of a simple equation in a corner ring. We then derive "constructive" proofs that in many rings, regular elements are special clean by solving this equation in specific cases. Other applications, such as uniqueness of decompositions, are given. Many examples of special clean decompositions of 2-2 matrices found by this methodology are also presented. | por |
dc.description.sponsorship | The research at CMAT 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. It has also been conducted as part of the project Labex MME-DII (ANR11-LBX-0023-01). | por |
dc.language.iso | eng | por |
dc.publisher | University of Niš. Faculty of Science and Mathematics | por |
dc.relation | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00013%2F2020/PT | - |
dc.relation | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F00013%2F2020/PT | - |
dc.rights | openAccess | por |
dc.subject | Special clean elements | por |
dc.subject | Unit-regular elements | por |
dc.subject | Strongly regular (group) elements | por |
dc.subject | Stable range 1 | por |
dc.title | Characterizations of special clean elements and applications | por |
dc.type | article | - |
dc.peerreviewed | yes | por |
dc.relation.publisherversion | https://doiserbia.nb.rs/Article.aspx?ID=0354-51802014847M | - |
oaire.citationStartPage | 4847 | por |
oaire.citationEndPage | 4860 | por |
oaire.citationIssue | 14 | por |
oaire.citationVolume | 34 | por |
dc.date.updated | 2022-10-11T16:23:13Z | - |
dc.identifier.eissn | 2406-0933 | - |
dc.identifier.doi | 10.2298/FIL2014847M | por |
dc.subject.wos | Science & Technology | - |
sdum.export.identifier | 12367 | - |
sdum.journal | Filomat | 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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34-14-22-13024.pdf | 243,46 kB | Adobe PDF | Ver/Abrir |