Commuting product of generalized derivations on multilinear polynomials in prime rings

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dc.contributor.authorBaydar Yarbil, Nihan
dc.contributor.authorDe Filippis, Vincenzo
dc.date.accessioned2020-12-01T12:01:03Z
dc.date.available2020-12-01T12:01:03Z
dc.date.issued2020
dc.departmentEge Üniversitesien_US
dc.description.abstractLet R be a prime ring of characteristic different from 2, U the Utumi quotient ring of R, C the extended centroid of R, F and G non-zero generalized derivations of R and f (x(1),..., x(n)) a multilinear polynomial over C. Suppose that f (x(1),..., x(n)) is not central valued on R, and R does not embed in M-2(K), the algebra of 2 x 2 matrices over a field K. We describe all possible forms of F and G in the case [f(g(f(r(1) ...r(n)))), f(r(1),...,r(n))] = 0 for any r(1),..., r(n) is an element of R.en_US
dc.identifier.doi10.1080/03081087.2020.1773376
dc.identifier.issn0308-1087
dc.identifier.issn1563-5139
dc.identifier.issn0308-1087en_US
dc.identifier.issn1563-5139en_US
dc.identifier.scopus2-s2.0-85087088654en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://doi.org/10.1080/03081087.2020.1773376
dc.identifier.urihttps://hdl.handle.net/11454/62261
dc.identifier.wosWOS:000542022700001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_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.subjectGeneralized derivationen_US
dc.subjectprime ringen_US
dc.titleCommuting product of generalized derivations on multilinear polynomials in prime ringsen_US
dc.typeArticleen_US

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