Lie centralizers and generalized Lie derivations at zero products

DOI10.1216/RMJ.2023.53.1087OpenAlexW4386277772MaRDI QIDQ6144476

Feng Wei, Ajda Fošner, Hoger Ghahramani

Publication date: 5 January 2024

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-53/issue-4/LIE-CENTRALIZERS-AND-GENERALIZED-LIE-DERIVATIONS-AT-ZERO-PRODUCTS/10.1216/rmj.2023.53.1087.full

zbMATH Keywords

prime ringgeneralized Lie derivationLie centralizer

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Commutators, derivations, elementary operators, etc. (47B47) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Derivations, actions of Lie algebras (16W25)

Cites Work

• Unnamed Item
• Lie \(n\)-derivations of unital algebras with idempotents.
• Nonlinear Lie-type derivations of von Neumann algebras and related topics
• Characterization of Lie Derivations on Prime Rings
• Lie (Jordan) centralizers on generalized matrix algebras
• Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
• Nonlinear generalized Lie n-derivations on triangular algebras
• On nonlinear Lie centralizers of generalized matrix algebras
• Generalized Lie n-derivations of triangular algebras
• Characterizing homomorphisms, derivations and multipliers in rings with idempotents

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