GENERALIZED SKEW DERIVATIONS WITH INVERTIBLE VALUES ON MULTILINEAR POLYNOMIALS

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dc.contributor.authorDemir, C.
dc.contributor.authorAlbas, E.
dc.contributor.authorArgac, N.
dc.contributor.authorDe Filippis, V.
dc.date.accessioned2019-10-27T21:33:55Z
dc.date.available2019-10-27T21:33:55Z
dc.date.issued2012
dc.departmentEge Üniversitesien_US
dc.description.abstractLet R be a prime ring, f(X-1, ..., X-n) a multilinear polynomial which is not central-valued on R, and G a nonzero generalized skew derivation of R. Suppose that G(f(x(1), ..., x(n))) is zero or invertible for all x(1), ..., x(n) is an element of R. Then it is proved that R is either a division ring or the ring of all 2 x 2 matrices over a division ring. This result simultaneously generalizes a number of results in the literature.en_US
dc.identifier.doi10.1080/00927872.2012.689393
dc.identifier.endpage4059en_US
dc.identifier.issn0092-7872
dc.identifier.issn0092-7872en_US
dc.identifier.issue11en_US
dc.identifier.startpage4042en_US
dc.identifier.urihttps://doi.org/10.1080/00927872.2012.689393
dc.identifier.urihttps://hdl.handle.net/11454/45478
dc.identifier.volume40en_US
dc.identifier.wosWOS:000309120700006en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherTaylor & Francis Incen_US
dc.relation.ispartofCommunications in Algebraen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectExtended density theoremen_US
dc.subjectGeneralized skew derivationsen_US
dc.subjectPrime ringsen_US
dc.subjectSkew derivationsen_US
dc.titleGENERALIZED SKEW DERIVATIONS WITH INVERTIBLE VALUES ON MULTILINEAR POLYNOMIALSen_US
dc.typeArticleen_US

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