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https://hdl.handle.net/1822/50137
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Campo DC | Valor | Idioma |
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dc.contributor.author | Huihui Zhu | por |
dc.contributor.author | Jianlong Chen | por |
dc.contributor.author | Patrício, Pedro | por |
dc.contributor.author | Mary, Xavier | por |
dc.date.accessioned | 2018-02-07T10:11:51Z | - |
dc.date.available | 2018-02-07T10:11:51Z | - |
dc.date.issued | 2017-12-15 | - |
dc.identifier.issn | 0096-3003 | por |
dc.identifier.uri | https://hdl.handle.net/1822/50137 | - |
dc.description.abstract | In this paper, we firstly prove that the absorption law for one-sided inverses along an element holds, and derive the absorption law for the inverse along an element. We then obtain the absorption law for the inverse along different elements. Also, we prove that a left inverse of a along d coincides with a right inverse of a along d, provided that they both exist. Then, the reverse order law and the existence criterion for the inverse along an element are given by centralizers in a ring. Finally, we characterize the Moore–Penrose inverse of a regular element by one-sided invertibilities in a ring with involution. | por |
dc.description.sponsorship | FCT - Natural Science Foundation of Jiangsu Province(UID-MAT-00013/2013) | por |
dc.description.sponsorship | This research was carried out by the first author during his visit to the Department of Mathematics and Applications, University of Minho, Portugal. He gratefully acknowledges the financial support of China Scholarship Council. This research is also supported 11 by the National Natural Science Foundation of China (No. 11371089), the Specialized Research Fund for the Doctoral Program of Higher Education (No. 20120092110020), the Natural Science Foundation of Jiangsu Province (No. BK20141327), the Scientific Innovation Research of College Graduates in Jiangsu Province (No. CXLX13-072), the Scientific Research Foundation of Graduate School of Southeast University, the FEDER Funds through Programa Operacional Factores de Competitividade-COMPETE’, the Portuguese Funds through FCT- ‘Funda¸c˜ao para a Ciˆencia e a Tecnologia’, within the project UID-MAT-00013/2013. | por |
dc.language.iso | eng | por |
dc.publisher | Elsevier 1 | por |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147370/PT | por |
dc.rights | openAccess | por |
dc.subject | Absorption laws | por |
dc.subject | Centralizers | por |
dc.subject | Inverses along an element | por |
dc.subject | Left (Right) inverses along an element | por |
dc.subject | Moore–Penrose inverses | por |
dc.subject | Reverse order laws | por |
dc.title | Centralizer's applications to the inverse along an element | por |
dc.type | article | - |
dc.peerreviewed | yes | por |
oaire.citationStartPage | 27 | por |
oaire.citationEndPage | 33 | por |
oaire.citationVolume | 315 | por |
dc.date.updated | 2018-02-04T19:30:42Z | - |
dc.identifier.doi | 10.1016/j.amc.2017.07.046 | por |
dc.description.publicationversion | info:eu-repo/semantics/publishedVersion | por |
dc.subject.wos | Science & Technology | - |
sdum.export.identifier | 2499 | - |
sdum.journal | Applied Mathematics and Computation | 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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Centralizer’s applications to the inverse along an element.pdf | 115,91 kB | Adobe PDF | Ver/Abrir |