A note on certain central differential identities with generalized derivations

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dc.contributor.authorArgaç N.
dc.contributor.authorDe Filippis V.
dc.date.accessioned2019-10-26T21:41:53Z
dc.date.available2019-10-26T21:41:53Z
dc.date.issued2012
dc.departmentEge Üniversitesien_US
dc.description.abstractLet R be a noncommutative prime ring of characteristic different from 2 with right Utumi quotient ring U and extended centroid C, I a nonzero right ideal of R. Let f(x1,..., xn) be a non-central multilinear polynomial over C, m ? 1 a fixed integer, a a fixed element of R, G a non-zero generalized derivation of R. If aG(f(r1,..., rn))m ? Z(R) for all r1,..., rn ? I, then one of the following holds: (1) aI = aG(I) = (0); (2) G(x) = qx, for some q ? U and aqI = 0; (3) [f(x1,..., xn), xn+1]xn+2 is an identity for I; (4) G(x) = cx + [q, x] for all x ? R, where c, q ? U such that cI = 0 and [q, I]I = 0; (5) dimC(RC) ? 4; (6) G(x) = ?x, for some ? ? C; moreover a ? C and f(x1,..., xn)m is central valued on R.en_US
dc.identifier.endpage852en_US
dc.identifier.issn1303-5010
dc.identifier.issue6en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage847en_US
dc.identifier.urihttps://hdl.handle.net/11454/18320
dc.identifier.volume41en_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakTR-Dizinen_US
dc.language.isoenen_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.subjectDifferential identitiesen_US
dc.subjectGeneralized derivationsen_US
dc.subjectPrime ringsen_US
dc.titleA note on certain central differential identities with generalized derivationsen_US
dc.typeArticleen_US

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