The inverse along a product and its applications

dc.contributor.authorHuihui Zhupor
dc.contributor.authorPatrício, Pedropor
dc.contributor.authorJianlong Chenpor
dc.contributor.authorZhang, Yulinpor
dc.date.accessioned2016-01-04T14:55:22Z
dc.date.issued2016
dc.description.abstractIn 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.por
dc.description.sponsorshipThe 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).por
dc.distributioninternationalpor
dc.identifier.citationZhu, 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
dc.identifier.doi10.1080/03081087.2015.1059796por
dc.identifier.issn1563-5139por
dc.identifier.urihttps://hdl.handle.net/1822/39182
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherTaylor and Francispor
dc.relationFundação para a Ciência e Tecnologia (FCT)por
dc.relationNational Natural Science Foundation of Chinapor
dc.relationChina Scholarship Councilpor
dc.relationinfo:eu-repo/grantAgreement/FCT/5876/135888/PTpor
dc.relation.publisherversionhttp://www.tandfonline.com/doi/full/10.1080/03081087.2015.1059796por
dc.rightsopenAccess
dc.subjectVon Neumann regularitypor
dc.subjectInverse along an elementpor
dc.subjectGreen's relationspor
dc.subjectMatrices over a ringpor
dc.subject15A09por
dc.subject16E50por
dc.subject.fosCiências Naturais::Matemáticaspor
dc.subject.wosScience & Technologypor
dc.titleThe inverse along a product and its applicationspor
dc.typearticlepor
dspace.entity.typePublicationen
oaire.citationEndPage841por
oaire.citationIssue5por
oaire.citationStartPage834por
oaire.citationTitleLinear and Multilinear Algebrapor
oaire.citationVolume64por
rcaap.embargofctRestrição da editorapor
sdum.journalLinear and Multilinear Algebrapor
sdum.publicationstatusin publicationpor

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