A characterization of jordan left ∗ -centralizers via skew lie and jordan products

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dc.authorid0000-0002-7874-2392en_US
dc.contributor.authorAbbasi, Adnan
dc.contributor.authorAbdioğlu, Cihat
dc.contributor.authorAli, Shakir
dc.contributor.authorRahman Mozumder, Muzibur
dc.date.accessioned2022-02-14T08:44:39Z
dc.date.available2022-02-14T08:44:39Z
dc.date.issued2022en_US
dc.departmentKMÜ, Eğitim Fakültesi, Matematik ve Fen Bilimleri Eğitimi Bölümüen_US
dc.descriptionWOS:000744369500001en_US
dc.description.abstractLet n≥ 1 be a fixed integer and R be a ring with involution ‘∗ ’. For any two elements x and y in R, the n-skew Lie product and n-skew Jordan product are given by ▿ [x, y] n= ▿ [x, ▿ [x, y] n-1] with ▿[x,y]0=y,▿[x,y]1=▿[x,y]=xy-yx∗,▿[x,y]2=x2y-2xyx∗+y(x∗)2 and x⋄ ny= x⋄ (x⋄ n-1y) with x⋄ y= y, x⋄ 1y= x⋄ y= xy+ yx∗, x⋄2y=x2y+2xyx∗+y(x∗)2. The purpose of this paper is to characterize Jordan left ∗ -centralizers satisfying certain functional identities involving skew Lie product and skew Jordan products. In particular, it is proved that if R is a 2-torsion free prime ring with involution of the second kind admits a non-zero Jordan left ∗ -centralizer T such that ▿ [x, T(x)] n∈ Z(R) (n= 1 , 2) for all x∈ R, then T(x) = λx∗ for all x∈ R, where λ∈ C, the extended centroid of R. We also characterize Jordan left ∗ -centralizers of prime rings with involution via skew Jordan product.en_US
dc.identifier.citationAbbasi, A., Abdioglu, C., Ali, S., & Mozumder, M. R. (2022). A characterization of jordan left ∗ -centralizers via skew lie and jordan products. Bulletin of the Iranian Mathematical Society, doi:10.1007/s41980-021-00665-wen_US
dc.identifier.doi10.1007/s41980-021-00665-w
dc.identifier.issn1018-6301
dc.identifier.scopus2-s2.0-85122998425
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1007/s41980-021-00665-w
dc.identifier.urihttps://hdl.handle.net/11492/5952
dc.identifier.wosWOS:000744369500001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Sceince
dc.indekslendigikaynakScopus
dc.institutionauthorAbdioğlu, Cihat
dc.language.isoen
dc.publisherSpringeren_US
dc.relation.journalBulletin of the Iranian Mathematical Societyen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectInvolutionen_US
dc.subjectJordan Centralizeren_US
dc.subjectJordan Leften_US
dc.subjectCentralizeren_US
dc.subjectN-Skew Jordan Producten_US
dc.subjectN-Skew Lie Producten_US
dc.subjectPrime Ringen_US
dc.titleA characterization of jordan left ∗ -centralizers via skew lie and jordan productsen_US
dc.typeArticle

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