Generalized ?-Lie ideal of ?-prime ring

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dc.contributor.authorTürkmen, Selin
dc.contributor.authorAydın, Neşet
dc.date.accessioned2025-01-27T19:48:30Z
dc.date.available2025-01-27T19:48:30Z
dc.date.issued2017
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractLet R be a ∗-prime ring with characteristic not 2, σ, τ : R → R be two automorphisms, U be a nonzero ∗- (σ, τ ) -Lie ideal of R such that τ commutes with ∗, and a, b be in R. (i) If a ∈ S∗ (R) and [U, a] = 0, then a ∈ Z (R) or U ⊂ Z (R). (ii) If a ∈ S∗ (R) and [U, a]σ,τ ⊂ Cσ,τ , then a ∈ Z (R) or U ⊂ Z (R). (iii) If U ̸⊂ Z (R) and U ̸⊂ Cσ,τ , then there exists a nonzero ∗-ideal M of R such that [R, M]σ,τ ⊂ U but [R, M]σ,τ ̸⊂ Cσ,τ . (iv) Let U ̸⊂ Z (R) and U ̸⊂ Cσ,τ . If aUb = a ∗Ub = 0, then a = 0 or b = 0.
dc.identifier.endpage853
dc.identifier.issn1300-0098
dc.identifier.issn1303-6149
dc.identifier.issue4
dc.identifier.startpage841
dc.identifier.trdizinid246130
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/246130
dc.identifier.urihttps://hdl.handle.net/20.500.12428/18725
dc.identifier.volume41
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.relation.ispartofTurkish Journal of Mathematics
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_TRD_20250125
dc.subjectMatematik
dc.titleGeneralized ?-Lie ideal of ?-prime ring
dc.typeArticle

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