Lie centralizing mappings on generalized matrix algebras through two-sided zero products

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dc.contributor.authorArgaç, Nurcan
dc.date.accessioned2026-09-26T18:59:37Z
dc.date.available2026-09-26T18:59:37Z
dc.date.issued2025
dc.departmentEge Üniversitesi
dc.description.abstractLet (Formula presented) be a generalized matrix algebra defined by the Morita context (A, B, M, N, ΦMN , ΨNM ) and Z(U) the center of U. In this paper, under some certain conditions on U, we prove that if F : U→U is an additive map satisfying [x, F(y)] = 0 for any x, y ∈ U with xy =0= yx, then F has the form F(x) = λx + τ(x) for all x ∈ U, where λ ∈ Z(U) and τ is an additive map from U into Z(U). Finally as its applications, we characterize Lie centralizer maps and generalized Lie derivations on U. Moreover we prove that the similar conclusions remain valid on full matrix algebras, triangular algebras, upper triangular matrix algebras. © 2025 World Scientific Publishing Company.
dc.identifier.doi10.1142/S0219498825501968
dc.identifier.issn0219-4988
dc.identifier.issue8
dc.identifier.scopus2-s2.0-105003867889
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1142/S0219498825501968
dc.identifier.urihttps://hdl.handle.net/11454/133343
dc.identifier.volume24
dc.indekslendigikaynakScopus
dc.institutionauthorArgaç, Nurcan
dc.language.isoen
dc.publisherWorld Scientific
dc.relation.ispartofJournal of Algebra and its Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_Scopus_20260922
dc.subjectCentralizer
dc.subjectGeneralized Matrix Algebra
dc.subjectLie Centralizer
dc.subjectTriangular Algebra
dc.titleLie centralizing mappings on generalized matrix algebras through two-sided zero products
dc.typeArticle

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