Equivalence Relations Based on (b,c)-Inverses in Rings

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dc.citation.issue1
dc.citation.rankM21
dc.citation.spage11
dc.citation.volume21
dc.contributor.authorStanišev, Ivana
dc.contributor.authorVišnjić, Jelena
dc.contributor.authorDjordjevic, Dragan
dc.date.accessioned2024-10-04T09:02:00Z
dc.date.available2024-10-04T09:02:00Z
dc.date.issued2024
dc.description.abstractIn this paper, we introduce a binary relation in the set of all (b, c)-invertible elements of a ring, defined in the manner like minus, star, sharp, core, and dual core partial orders. We prove that this binary relation is actually an equivalence relation and we investigate some of its properties. Furthermore, we define another equivalence relation on the set of all (b, c)-invertible elements of a ring, as an improvement of the previous mentioned equivalence relation. In addition, the equivalence criteria are given for the equality of (b, c)-related idempotents of two elements and their (b, c)-invertibility is studied.
dc.description.sponsorshipinfo:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174007/RS//
dc.identifier.doi10.1007/s00009-023-02545-5
dc.identifier.issn1660-5446
dc.identifier.urihttps://repozitorijum.tfbor.bg.ac.rs/handle/123456789/5859
dc.language.isoen
dc.publisherSpringer Nature
dc.rights.licenseARR
dc.rights.uriAll rights reserved
dc.sourceMediterranean Journal of Mathematics
dc.subjectGeneralized inverse
dc.subject(bc)-inverse
dc.subjectequivalence relation
dc.subjectpartial order
dc.titleEquivalence Relations Based on (b,c)-Inverses in Rings
dc.typearticle
dc.type.versionpublishedVersion

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