Characterizations for pseudo core inverses in a ring with involution

Detalhes bibliográficos
Autor(a) principal: Huihui Zhu
Data de Publicação: 2019
Outros Autores: Patrício, Pedro
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/64276
Resumo: Let R be a unital -ring. In this paper, we give several characterizations for the pseudo core and dual pseudo core inverses of an element by units in R. Moreover, their relations with -DMP are obtained. As a special case, the existence criteria for EP elements (-DMP with index 1) are given. Then, the double commutant property of hybrid (b, c)-inverses is considered. Finally, the relations of the inverse along an element and the hybrid (b, c)-inverse, the (dual) pseudo core inverses and the hybrid (b, c)-inverse are investigated.
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spelling Characterizations for pseudo core inverses in a ring with involutionPseudo core inversesDrazin inversesMoore-Penrose inverses∗-DMPHybrid (b, c)-inversesDouble commutant property<inline-graphic xlinkhref="glma_a_1446506_ilm0004gif"hybrid (bc)-inverses15A0916U99Ciências Naturais::MatemáticasScience & TechnologyLet R be a unital -ring. In this paper, we give several characterizations for the pseudo core and dual pseudo core inverses of an element by units in R. Moreover, their relations with -DMP are obtained. As a special case, the existence criteria for EP elements (-DMP with index 1) are given. Then, the double commutant property of hybrid (b, c)-inverses is considered. Finally, the relations of the inverse along an element and the hybrid (b, c)-inverse, the (dual) pseudo core inverses and the hybrid (b, c)-inverse are investigated.This research is supported by the Fundamental Research Funds for the Central Universities, the Natural Science Foundation of Anhui Province [No. 1808085QA16] and the Portuguese Funds through FCT - 'Fundação para a Ciência e a Tecnologia' , within the project UID-MAT-00013/2013.Taylor & FrancisUniversidade do MinhoHuihui ZhuPatrício, Pedro20192019-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/64276eng0308-10871563-513910.1080/03081087.2018.1446506https://www.tandfonline.com/doi/full/10.1080/03081087.2018.1446506info: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:RCAAP2023-07-21T12:44:21Zoai:repositorium.sdum.uminho.pt:1822/64276Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:42:01.442875Repositório 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 for pseudo core inverses in a ring with involution
title Characterizations for pseudo core inverses in a ring with involution
spellingShingle Characterizations for pseudo core inverses in a ring with involution
Huihui Zhu
Pseudo core inverses
Drazin inverses
Moore-Penrose inverses
∗-DMP
Hybrid (b, c)-inverses
Double commutant property
<inline-graphic xlink
href="glma_a_1446506_ilm0004
gif"
hybrid (b
c)-inverses
15A09
16U99
Ciências Naturais::Matemáticas
Science & Technology
title_short Characterizations for pseudo core inverses in a ring with involution
title_full Characterizations for pseudo core inverses in a ring with involution
title_fullStr Characterizations for pseudo core inverses in a ring with involution
title_full_unstemmed Characterizations for pseudo core inverses in a ring with involution
title_sort Characterizations for pseudo core inverses in a ring with involution
author Huihui Zhu
author_facet Huihui Zhu
Patrício, Pedro
author_role author
author2 Patrício, Pedro
author2_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Huihui Zhu
Patrício, Pedro
dc.subject.por.fl_str_mv Pseudo core inverses
Drazin inverses
Moore-Penrose inverses
∗-DMP
Hybrid (b, c)-inverses
Double commutant property
<inline-graphic xlink
href="glma_a_1446506_ilm0004
gif"
hybrid (b
c)-inverses
15A09
16U99
Ciências Naturais::Matemáticas
Science & Technology
topic Pseudo core inverses
Drazin inverses
Moore-Penrose inverses
∗-DMP
Hybrid (b, c)-inverses
Double commutant property
<inline-graphic xlink
href="glma_a_1446506_ilm0004
gif"
hybrid (b
c)-inverses
15A09
16U99
Ciências Naturais::Matemáticas
Science & Technology
description Let R be a unital -ring. In this paper, we give several characterizations for the pseudo core and dual pseudo core inverses of an element by units in R. Moreover, their relations with -DMP are obtained. As a special case, the existence criteria for EP elements (-DMP with index 1) are given. Then, the double commutant property of hybrid (b, c)-inverses is considered. Finally, the relations of the inverse along an element and the hybrid (b, c)-inverse, the (dual) pseudo core inverses and the hybrid (b, c)-inverse are investigated.
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-01-01T00:00:00Z
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/1822/64276
url http://hdl.handle.net/1822/64276
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0308-1087
1563-5139
10.1080/03081087.2018.1446506
https://www.tandfonline.com/doi/full/10.1080/03081087.2018.1446506
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 Taylor & Francis
publisher.none.fl_str_mv Taylor & Francis
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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