GENERALIZED SKEW DERIVATIONS ON MULTILINEAR POLYNOMIALS IN RIGHT IDEALS OF PRIME RINGS

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dc.contributor.authorAlbas, E.
dc.contributor.authorArgac, N.
dc.contributor.authorDe Filippis, V.
dc.contributor.authorDemir, C.
dc.date.accessioned2019-10-27T22:05:20Z
dc.date.available2019-10-27T22:05:20Z
dc.date.issued2014
dc.departmentEge Üniversitesien_US
dc.description.abstractLet R be a prime ring, f(x(1),...,x(n)) a multilinear polynomial over C in n noncommuting indeterminates, I a nonzero right ideal of R, and F : R -> R be a nonzero generalized skew derivation of R. Suppose that F(f(r(1),...,r(n)))f(r(1),...,r(n)) is an element of C, for all r(1),...,r(n) is an element of I. If f(x(1),...,x(n)) is not central valued on R, then either char(R) = 2 and R satisfies s(4) or one of the following holds: (i) f (x(1),...,x(n))x(n+1) is an identity for I; (ii) F(I)I = (0); (iii) [f(x(1),...,x(n)),x(n+1)]x(n+2) is an identity for I, there exist b,c,q is an element of Q with q an invertible element such that F(x) = bx - qxq(-1) c for all x is an element of R, and q(-1)cI subset of I. Moreover, in this case either (b - c)I = (0) or b c is an element of C and f(x(1),...,x(n))(2) is central valued on R.en_US
dc.identifier.endpage83en_US
dc.identifier.issn1303-5010
dc.identifier.issn1303-5010en_US
dc.identifier.issue1en_US
dc.identifier.startpage69en_US
dc.identifier.urihttps://hdl.handle.net/11454/48363
dc.identifier.volume43en_US
dc.identifier.wosWOS:000334818000007en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherHacettepe Univ, Fac Scien_US
dc.relation.ispartofHacettepe Journal of Mathematics and Statisticsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectIdentityen_US
dc.subjectgeneralized skew derivationen_US
dc.subjectautomorphismen_US
dc.subject(semi-)prime ringen_US
dc.titleGENERALIZED SKEW DERIVATIONS ON MULTILINEAR POLYNOMIALS IN RIGHT IDEALS OF PRIME RINGSen_US
dc.typeArticleen_US

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