On Lie ideals with generalized derivations

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dc.contributor.authorGoelbasi, Oe.
dc.contributor.authorKaya, K.
dc.date.accessioned2025-01-27T20:55:52Z
dc.date.available2025-01-27T20:55:52Z
dc.date.issued2006
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractLet R be a prime ring with characteristic different from 2, let U be a nonzero Lie ideal of R, and let f be a generalized derivation associated with d. We prove the following results: (i) If a is an element of R and [a, f (U)] = 0 then a is an element of Z or d(a) = 0 or U subset of Z; (ii) If f(2)(U) = 0 then U subset of Z; (iii) If u(2) is an element of U for all u is an element of U and f acts as a homomorphism or antihomomorphism on U then either d = 0 or U subset of Z.
dc.identifier.doi10.1007/s11202-006-0094-6
dc.identifier.endpage866
dc.identifier.issn0037-4466
dc.identifier.issn1573-9260
dc.identifier.issue5
dc.identifier.scopus2-s2.0-33749171587
dc.identifier.scopusqualityQ3
dc.identifier.startpage862
dc.identifier.urihttps://doi.org/10.1007/s11202-006-0094-6
dc.identifier.urihttps://hdl.handle.net/20.500.12428/26214
dc.identifier.volume47
dc.identifier.wosWOS:000241845200006
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMaik Nauka/Interperiodica/Springer
dc.relation.ispartofSiberian Mathematical Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20250125
dc.subjectderivation
dc.subjectLie ideal
dc.subjectgeneralized derivation
dc.subjecthomomorphism
dc.subjectantihomomorphism
dc.titleOn Lie ideals with generalized derivations
dc.typeArticle

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