Reverse order law and forward order law for the (b, c)-Inverse

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dc.citation.epage394
dc.citation.rankM23
dc.citation.spage379
dc.citation.volume39
dc.contributor.authorVišnjić, Jelena
dc.contributor.authorStanišev, Ivana
dc.contributor.authorKe, Yuanyuan
dc.date.accessioned2024-12-24T10:02:59Z
dc.date.available2024-12-24T10:02:59Z
dc.date.issued2023
dc.description.abstractThe reverse order law and the forward order law have been studied for various types of generalized inverses. The (b,c)-inverse is a generalization of some well known generalized inverses, such as the Moore-Penrose inverse, the Drazin inverse, the core inverse, etc. In this paper, the reverse order law for the (b,c)-inverse, in a unital ring, is investigated and an equivalent condition for this law to hold for the (b,c)-inverse is derived. Also, some known results on this topic are generalized. Furthermore, the forward order law for the (b,c)-inverse in a ring with a unity is introduced, for different choices of b and c. Moreover, as corollaries of obtained results, equivalent conditions for the reverse order law and the forward order law for the inverse along an element are derived.
dc.identifier.doi10.13001/ela.2023.7807
dc.identifier.issn1537-9582
dc.identifier.issn1081-3810
dc.identifier.urihttps://repozitorijum.tfbor.bg.ac.rs/handle/123456789/5927
dc.language.isoen
dc.publisherInternational Linear Algebra Society
dc.rights.licenseARR
dc.rights.uriAll rights reserved
dc.sourceElectronic Journal of Linear Algebra
dc.subject(b, c)-inverse
dc.subjectinverse along an element
dc.subjectreverse order law
dc.subjectforward order law
dc.titleReverse order law and forward order law for the (b, c)-Inverse
dc.typearticle
dc.type.versionpublishedVersion

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