Identities with inverses on matrix rings

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dc.contributor.authorArgac, N.
dc.contributor.authorEroglu, M. P.
dc.contributor.authorLee, T. -K.
dc.contributor.authorLin, J. -H.
dc.date.accessioned2020-12-01T12:02:04Z
dc.date.available2020-12-01T12:02:04Z
dc.date.issued2020
dc.departmentEge Üniversitesien_US
dc.description.abstractMotivated by [1, 2], the goal of the paper is to study certain identities with inverses on matrix rings. Given D a division ring, we characterize additive maps f,g:D -> D satisfying the identity f(x)x-1+xg(x-1)=0 for all invertible x is an element of D. Let R be a matrix ring over a division ring of characteristic not 2. We also characterize additive maps f,g:R -> R satisfying the identity f(x)x-1+xg(x-1)=0 for all invertible x is an element of R. Precisely, there exist an element q is an element of R and a derivation d of R such that f(x)=xq+d(x) and g(x)=-qx+d(x) for all x is an element of R. This affirmatively answers the question below Theorem 4 in [1] due to L. Catalano.en_US
dc.identifier.doi10.1080/03081087.2019.1575331
dc.identifier.endpage651en_US
dc.identifier.issn0308-1087
dc.identifier.issn1563-5139
dc.identifier.issue3en_US
dc.identifier.startpage635en_US
dc.identifier.urihttps://doi.org/10.1080/03081087.2019.1575331
dc.identifier.urihttps://hdl.handle.net/11454/62584
dc.identifier.volume68en_US
dc.identifier.wosWOS:000587891600014en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherTaylor & Francis Ltden_US
dc.relation.ispartofLinear & Multilinear Algebraen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDivision ringen_US
dc.subjectderivationen_US
dc.subjectinverseen_US
dc.subjectmatrix ringen_US
dc.subjectfunctional identityen_US
dc.titleIdentities with inverses on matrix ringsen_US
dc.typeArticleen_US

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