Characterizations and Representations of Core and Dual Core Inverses in rings

Detalhes bibliográficos
Autor(a) principal: Chen, Jianlong
Data de Publicação: 2017
Outros Autores: Zhu, Huihui, Patrício, Pedro, Zhang, Yulin
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/47036
Resumo: In this paper, double commutativity and the reverse order law for the core inverse are considered._en new characterizations of theMoore–Penrose inverse of a regular element are given by one-sided invertibilities in a ring. Furthermore, the characterizations and representations of the core and dual core inverses of a regular element are considered.
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spelling Characterizations and Representations of Core and Dual Core Inverses in ringsCore inverseMoore–Penrose inverseRegularitiesGroup inversesDual core inversesDedekind-finite ringsMoore-Penrose inversescore inversesCiências Naturais::MatemáticasScience & TechnologyIn this paper, double commutativity and the reverse order law for the core inverse are considered._en new characterizations of theMoore–Penrose inverse of a regular element are given by one-sided invertibilities in a ring. Furthermore, the characterizations and representations of the core and dual core inverses of a regular element are considered.National Natural Science Foundation of China (No.11371089). FCT project UID-MAT-00013/2013info:eu-repo/semantics/publishedVersionCanadian Mathematical SocietyUniversidade do MinhoChen, JianlongZhu, HuihuiPatrício, PedroZhang, Yulin20172017-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/47036eng0008-43951496-428710.4153/CMB-2016-045-7https://cms.math.ca/10.4153/CMB-2016-045-7info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-21T12:38:54Zoai:repositorium.sdum.uminho.pt:1822/47036Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:35:26.910386Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Characterizations and Representations of Core and Dual Core Inverses in rings
title Characterizations and Representations of Core and Dual Core Inverses in rings
spellingShingle Characterizations and Representations of Core and Dual Core Inverses in rings
Chen, Jianlong
Core inverse
Moore–Penrose inverse
Regularities
Group inverses
Dual core inverses
Dedekind-finite rings
Moore-Penrose inverses
core inverses
Ciências Naturais::Matemáticas
Science & Technology
title_short Characterizations and Representations of Core and Dual Core Inverses in rings
title_full Characterizations and Representations of Core and Dual Core Inverses in rings
title_fullStr Characterizations and Representations of Core and Dual Core Inverses in rings
title_full_unstemmed Characterizations and Representations of Core and Dual Core Inverses in rings
title_sort Characterizations and Representations of Core and Dual Core Inverses in rings
author Chen, Jianlong
author_facet Chen, Jianlong
Zhu, Huihui
Patrício, Pedro
Zhang, Yulin
author_role author
author2 Zhu, Huihui
Patrício, Pedro
Zhang, Yulin
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Chen, Jianlong
Zhu, Huihui
Patrício, Pedro
Zhang, Yulin
dc.subject.por.fl_str_mv Core inverse
Moore–Penrose inverse
Regularities
Group inverses
Dual core inverses
Dedekind-finite rings
Moore-Penrose inverses
core inverses
Ciências Naturais::Matemáticas
Science & Technology
topic Core inverse
Moore–Penrose inverse
Regularities
Group inverses
Dual core inverses
Dedekind-finite rings
Moore-Penrose inverses
core inverses
Ciências Naturais::Matemáticas
Science & Technology
description In this paper, double commutativity and the reverse order law for the core inverse are considered._en new characterizations of theMoore–Penrose inverse of a regular element are given by one-sided invertibilities in a ring. Furthermore, the characterizations and representations of the core and dual core inverses of a regular element are considered.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1822/47036
url http://hdl.handle.net/1822/47036
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0008-4395
1496-4287
10.4153/CMB-2016-045-7
https://cms.math.ca/10.4153/CMB-2016-045-7
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Canadian Mathematical Society
publisher.none.fl_str_mv Canadian Mathematical Society
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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