Posner's Second Theorem and some Related Annihilating Conditions on Lie Ideals

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dc.contributor.authorAlbas, Emine
dc.contributor.authorArgac, Nurcan
dc.contributor.authorDe Filippis, Vincenzo
dc.date.accessioned2019-10-27T10:45:15Z
dc.date.available2019-10-27T10:45:15Z
dc.date.issued2018
dc.departmentEge Üniversitesien_US
dc.description.abstractLet R be a non-commutative prime ring of characteristic different from 2 with Utumi quotient ring U and extended centroid C, L a non-central Lie ideal of R, Gamma and G two non-zero generalized derivations of R. If [F(u), u] G(u) = 0 for all u is an element of L, then one of the following holds: (a) there exists lambda is an element of C such that F(x) = lambda x, for all x is an element of R; (b) R subset of M-2(F), the ring of 2 X 2 matrices over a field F, and there exist a 2 U and lambda is an element of C such that F( x) = ax + xa + lambda x, for all x is an element of R.en_US
dc.identifier.doi10.2298/FIL1804285A
dc.identifier.endpage1301en_US
dc.identifier.issn0354-5180
dc.identifier.issn0354-5180en_US
dc.identifier.issue4en_US
dc.identifier.startpage1285en_US
dc.identifier.urihttps://doi.org/10.2298/FIL1804285A
dc.identifier.urihttps://hdl.handle.net/11454/31118
dc.identifier.volume32en_US
dc.identifier.wosWOS:000444106200014en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherUniv Nis, Fac Sci Mathen_US
dc.relation.ispartofFilomaten_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectPolynomial identityen_US
dc.subjectgeneralized polynomial identityen_US
dc.subjectderivationen_US
dc.subjectgeneralized derivationen_US
dc.subject(semi-)prime ringen_US
dc.titlePosner's Second Theorem and some Related Annihilating Conditions on Lie Idealsen_US
dc.typeArticleen_US

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