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https://hdl.handle.net/1822/50142
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Campo DC | Valor | Idioma |
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dc.contributor.author | Jianlong Chen | por |
dc.contributor.author | Honglin Zou | por |
dc.contributor.author | Huihui Zhu | por |
dc.contributor.author | Patrício, Pedro | por |
dc.date.accessioned | 2018-02-07T10:42:15Z | - |
dc.date.available | 2018-02-07T10:42:15Z | - |
dc.date.issued | 2017-10-01 | - |
dc.identifier.issn | 1660-5446 | por |
dc.identifier.uri | https://hdl.handle.net/1822/50142 | - |
dc.description.abstract | The concept of the inverse along an element was introduced by Mary in 2011. Later, Zhu et al. introduced the one-sided inverse along an element. In this paper, we first give a new existence criterion for the one-sided inverse along a product and characterize the existence of Moore–Penrose inverse by means of one-sided invertibility of certain element in a ring. In addition, we show that a∈ S † ⋂ S # if and only if (a∗a)k is invertible along a if and only if (aa∗)k is invertible along a in a ∗ -monoid S, where k is an arbitrary given positive integer. Finally, we prove that the inverse of a along aa ∗ coincides with the core inverse of a under the condition a∈ S { 1 , 4 } in a ∗ -monoid S. | por |
dc.description.sponsorship | FCT - Fuel Cell Technologies Program(CXLX13-072) | por |
dc.description.sponsorship | This research was supported 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) and the Foundation of Graduate Innovation Program of Jiangsu Province (No. KYZZ15-0049). | por |
dc.language.iso | eng | por |
dc.publisher | Birkhäuser Basel | por |
dc.rights | openAccess | por |
dc.subject | Inverse along an element | por |
dc.subject | Rings | por |
dc.subject | semigroups | por |
dc.subject | Von Neumann regularity | por |
dc.title | The one-sided inverse along an element in semigroups and rings | por |
dc.type | article | - |
dc.peerreviewed | yes | por |
oaire.citationIssue | 5 | por |
oaire.citationVolume | 14 | por |
dc.date.updated | 2018-02-05T13:49:50Z | - |
dc.identifier.eissn | 1660-5454 | por |
dc.identifier.doi | 10.1007/s00009-017-1017-4 | por |
dc.description.publicationversion | info:eu-repo/semantics/publishedVersion | por |
dc.subject.wos | Science & Technology | - |
sdum.export.identifier | 2503 | - |
sdum.journal | Mediterranean Journal 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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the-inverse-along-an-element.pdf | 286,64 kB | Adobe PDF | Ver/Abrir |