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Rank equalities related to a class of outer generalized inverse

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Rank equalities related to a class of outer generalized inverse

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Nombre: Chen;Xu;Benítez - ...
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dc.contributor.author Chen, Jianlong es_ES
dc.contributor.author Xu, Sanzhang es_ES
dc.contributor.author Benítez López, Julio es_ES
dc.contributor.author Chen, Xiaofeng es_ES
dc.date.accessioned 2020-04-06T08:56:39Z
dc.date.available 2020-04-06T08:56:39Z
dc.date.issued 2019 es_ES
dc.identifier.uri http://hdl.handle.net/10251/140218
dc.description.abstract [EN] In 2012, Drazin introduced a class of outer generalized inverse in a ring R, the (b, c)-inverse of a for a,b,c is an element of R and denoted by a(parallel to(b,c)). In this paper, rank equalities of A(k)A(parallel to(B,C)) - A parallel to((B,C))A(k) and (A*)(k)A(parallel to(B,C) )-( )A(parallel to(B,C))(A*)(k )are obtained. As applications, we investigate equivalent conditions for the equalities (A*)(k)A(parallel to(B,C)) = A(parallel to(B,C))(A*)(k) and A(k)A(parallel to(B,C)) = A(parallel to(B,C))A(k). As corollaries we obtain rank equalities related to the Moore-Penrose inverse, the core inverse, and the Drazin inverse. The paper finishes with some rank equalities involving different expressions containing A(parallel to(B,C)). es_ES
dc.description.sponsorship The authors wish to thank the editor and reviewers sincerely for their constructive comments and suggestions that have improved the quality of the paper. The second author is grateful to China Scholarship Council for giving him a scholarship for his further study in Universitat Politècnica de València, Spain. This research is supported by the National Natural Science Foundation of China (No. 11771076), the Fundamental Research Funds for the Central Universities (no. KYCX 0055), the Postgraduate Research & Practice Innovation Program of Jiangsu Province (no. KYCX 0055). The second author is supported by the Natural Science Foundation of Jiangsu Education Committee (No. 19KJB110005) and the Natural Science Foundation of Jiangsu Province of China (No. BK20191047). es_ES
dc.language Inglés es_ES
dc.publisher National Library of Serbia es_ES
dc.relation.ispartof Filomat (Online) es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Rank equality es_ES
dc.subject Commutator es_ES
dc.subject (B,C)-inverse es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Rank equalities related to a class of outer generalized inverse es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.2298/FIL1917611C es_ES
dc.relation.projectID info:eu-repo/grantAgreement/NSFC//11771076/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/Fundamental Research Funds for the Central Universities//KYCX-0055/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/Natural Science Foundation of Jiangsu Province//19KJB110005/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/Natural Science Foundation of Jiangsu Province//BK20191047/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Chen, J.; Xu, S.; Benítez López, J.; Chen, X. (2019). Rank equalities related to a class of outer generalized inverse. Filomat (Online). 33(17):5611-5622. https://doi.org/10.2298/FIL1917611C es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.2298/FIL1917611C es_ES
dc.description.upvformatpinicio 5611 es_ES
dc.description.upvformatpfin 5622 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 33 es_ES
dc.description.issue 17 es_ES
dc.identifier.eissn 2406-0933 es_ES
dc.relation.pasarela S\396804 es_ES
dc.contributor.funder National Natural Science Foundation of China es_ES
dc.contributor.funder Natural Science Foundation of Jiangsu Province es_ES
dc.contributor.funder Fundamental Research Funds for the Central Universities es_ES


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