Some properties of (b, c)-inverses in rings

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dc.citation.epage2613
dc.citation.issue6
dc.citation.rankM22
dc.citation.spage2600
dc.citation.volume51
dc.contributor.authorVišnjić, Jelena
dc.contributor.authorStanišev, Ivana
dc.contributor.authorKe, Yuanyuan
dc.date.accessioned2024-12-24T09:31:37Z
dc.date.available2024-12-24T09:31:37Z
dc.date.issued2023
dc.description.abstractIn this paper, we study (b, c)-invertibility of some arbitrary (b, c)-inverse and we give an equivalent condition for its (b, c)-invertibility. Moreover, we investigate when some well known properties of generalized inverses hold for (b, c)-inverses. Further, we study when the (b, c)-inverse of the unity is equal to the unity itself and we obtain equivalent conditions for this to hold. In addition, we investigate the reverse order law for the (b, c)-inverse. Finally, we prove that in the case when the unity is (b, c)-invertible, the set of all (b, c)-inverses, with respect to multiplication, is a group.
dc.identifier.doi10.1080/00927872.2023.2166947
dc.identifier.issn0092-7872
dc.identifier.issn1532-4125
dc.identifier.urihttps://repozitorijum.tfbor.bg.ac.rs/handle/123456789/5926
dc.language.isoen
dc.publisherTaylor & Francis
dc.rights.licenseARR
dc.rights.uriAll rights reserved
dc.sourceCommunications in Algebra
dc.subject(bc)-inverse
dc.subjectcommuting properties
dc.subjectgeneralized inverse
dc.subjectreverse order law
dc.subjectunity
dc.titleSome properties of (b, c)-inverses in rings
dc.typearticle
dc.type.versionpublishedVersion

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