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Existence Criteria and Expressions of the (b, c)-Inverse in Rings and Their Applications

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Existence Criteria and Expressions of the (b, c)-Inverse in Rings and Their Applications

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dc.contributor.author Xu, Sanzhang es_ES
dc.contributor.author Benítez López, Julio es_ES
dc.date.accessioned 2019-05-22T20:28:21Z
dc.date.available 2019-05-22T20:28:21Z
dc.date.issued 2018 es_ES
dc.identifier.issn 1660-5446 es_ES
dc.identifier.uri http://hdl.handle.net/10251/120924
dc.description.abstract [EN] Let R be a ring. Existence criteria for the (b, c)-inverse are given. We present explicit expressions for the (b, c)-inverse by using inner inverses. We answer the question when the (b, c)-inverse of a ¿ R is an inner inverse of a. As applications, we give a unified theory of some well-known results of the {1, 3}-inverse, the {1, 4}-inverse, the Moore¿Penrose inverse, the group inverse and the core inverse. es_ES
dc.description.sponsorship The first author is grateful to the China Scholarship Council for giving him a scholarship for his further study in Universitat Politecnica de Valencia, Spain. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Mediterranean Journal of Mathematics es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject (b, c)-Inverse es_ES
dc.subject Inner inverse es_ES
dc.subject The inverse along an element es_ES
dc.subject Annihilator es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Existence Criteria and Expressions of the (b, c)-Inverse in Rings and Their Applications es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s00009-017-1056-x 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 Xu, S.; Benítez López, J. (2018). Existence Criteria and Expressions of the (b, c)-Inverse in Rings and Their Applications. Mediterranean Journal of Mathematics. 15(1). https://doi.org/10.1007/s00009-017-1056-x es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s00009-017-1056-x es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 15 es_ES
dc.description.issue 1 es_ES
dc.relation.pasarela S\349934 es_ES
dc.contributor.funder China Scholarship Council
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