The inverse along a product and its applications

Detalhes bibliográficos
Autor(a) principal: Huihui Zhu
Data de Publicação: 2016
Outros Autores: Patrício, Pedro, Jianlong Chen, 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/1822/39182
Resumo: In this paper, we study the recently defined notion of the inverse along an element. An existence criterion for the inverse along a product is given in a ring. As applications, we present the equivalent conditions for the existence and expressions of the inverse along a matrix.
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spelling The inverse along a product and its applicationsVon Neumann regularityInverse along an elementGreen's relationsMatrices over a ring15A0916E50Ciências Naturais::MatemáticasScience & TechnologyIn this paper, we study the recently defined notion of the inverse along an element. An existence criterion for the inverse along a product is given in a ring. As applications, we present the equivalent conditions for the existence and expressions of the inverse along a matrix.The authors are highly grateful to the referee for valuable comments which led to improvements of the paper. In particular, Remarks 3.2 and 3.4 were suggested to the authors by the referee. The first author is grateful to China Scholarship Council for supporting him to purse his further study in University of Minho, Portugal. Pedro Patr´ıcio and Yulin Zhang were financed by the Research Centre of Mathematics of the University of Minho with the Portuguese Funds from the “Funda¸c˜ao para a Ciˆencia e a Tecnologia”, through the Project PEst-OE/MAT/UI0013/2014. Jianlong Chen and Huihui Zhu were supported by the National Natural Science Foundation of China (No. 11201063 and 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 Foundation of Graduate Innovation Program of Jiangsu Province(No. CXLX13-072), the Scientific Research Foundation of Graduate School of Southeast University and the Fundamental Research Funds for the Central Universities (No. 22420135011).Taylor and FrancisUniversidade do MinhoHuihui ZhuPatrício, PedroJianlong ChenZhang, Yulin20162016-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/39182engZhu, H., Patricio, P., Chen, J., & Zhang, Y. (2016). The inverse along a product and its applications. Linear & Multilinear Algebra, 64(5), 834-841. doi: 10.1080/03081087.2015.10597961563-513910.1080/03081087.2015.1059796http://www.tandfonline.com/doi/full/10.1080/03081087.2015.1059796info: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:RCAAP2023-07-21T12:28:53Zoai:repositorium.sdum.uminho.pt:1822/39182Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:23:46.781286Repositório 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 The inverse along a product and its applications
title The inverse along a product and its applications
spellingShingle The inverse along a product and its applications
Huihui Zhu
Von Neumann regularity
Inverse along an element
Green's relations
Matrices over a ring
15A09
16E50
Ciências Naturais::Matemáticas
Science & Technology
title_short The inverse along a product and its applications
title_full The inverse along a product and its applications
title_fullStr The inverse along a product and its applications
title_full_unstemmed The inverse along a product and its applications
title_sort The inverse along a product and its applications
author Huihui Zhu
author_facet Huihui Zhu
Patrício, Pedro
Jianlong Chen
Zhang, Yulin
author_role author
author2 Patrício, Pedro
Jianlong Chen
Zhang, Yulin
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Huihui Zhu
Patrício, Pedro
Jianlong Chen
Zhang, Yulin
dc.subject.por.fl_str_mv Von Neumann regularity
Inverse along an element
Green's relations
Matrices over a ring
15A09
16E50
Ciências Naturais::Matemáticas
Science & Technology
topic Von Neumann regularity
Inverse along an element
Green's relations
Matrices over a ring
15A09
16E50
Ciências Naturais::Matemáticas
Science & Technology
description In this paper, we study the recently defined notion of the inverse along an element. An existence criterion for the inverse along a product is given in a ring. As applications, we present the equivalent conditions for the existence and expressions of the inverse along a matrix.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-01-01T00:00:00Z
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/1822/39182
url http://hdl.handle.net/1822/39182
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Zhu, H., Patricio, P., Chen, J., & Zhang, Y. (2016). The inverse along a product and its applications. Linear & Multilinear Algebra, 64(5), 834-841. doi: 10.1080/03081087.2015.1059796
1563-5139
10.1080/03081087.2015.1059796
http://www.tandfonline.com/doi/full/10.1080/03081087.2015.1059796
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 and Francis
publisher.none.fl_str_mv Taylor and 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
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