Remarks on Certain Identities with Derivations on Semiprime Rings

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dc.contributor.authorFosner, A.
dc.contributor.authorBaydar, N.
dc.contributor.authorStrasek, R.
dc.date.accessioned2019-10-27T22:28:04Z
dc.date.available2019-10-27T22:28:04Z
dc.date.issued2015
dc.departmentEge Üniversitesien_US
dc.description.abstractLet n be a fixed positive integer, let R be a (2n)! -torsion-free semiprime ring, let be an automorphism or an anti-automorphism of R, and let D (1) , D (2) : R -> R be derivations. We prove the following result: If (D (1) (2) (x) + D (2)(x)) (n) a similar to aEuro parts per thousand alpha(x) (n) = 0 holds for all x a R, then D (1) = D (2) = 0. The same is true if R is a 2-torsion free semiprime ring and F(x) A degrees beta(x) = 0 for all x a R, where F(x) = (D (1) (2) (x) + D (2)(x)) a similar to aEuro parts per thousand alpha(x), x aaEuro parts per thousand R, and beta is any automorphism or antiautomorphism on R.en_US
dc.identifier.doi10.1007/s11253-015-1037-9
dc.identifier.endpage1614en_US
dc.identifier.issn0041-5995
dc.identifier.issn1573-9376
dc.identifier.issn0041-5995en_US
dc.identifier.issn1573-9376en_US
dc.identifier.issue10en_US
dc.identifier.startpage1609en_US
dc.identifier.urihttps://doi.org/10.1007/s11253-015-1037-9
dc.identifier.urihttps://hdl.handle.net/11454/50833
dc.identifier.volume66en_US
dc.identifier.wosWOS:000358072900014en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofUkrainian Mathematical Journalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.titleRemarks on Certain Identities with Derivations on Semiprime Ringsen_US
dc.typeArticleen_US

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