MAPS CHARACTERIZED BY ACTION ON LIE ZERO PRODUCTS

DOI10.1081/AGB-200064364zbMath1090.16013OpenAlexW1997247746MaRDI QIDQ5699900

Ying-Fen Lin, Kostia I. Beidar

Publication date: 27 October 2005

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-200064364

zbMATH Keywords

Lie productsderivationssymmetric elementsfunctional identitiesskew-symmetric elementsextended centroidsadditive mapsprime rings with involution

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Conditions on elements (16U99) Derivations, actions of Lie algebras (16W25)

Related Items (1)

Konstantin Igorevich Beidar (1951-2004)

Cites Work

• Unnamed Item
• Lie isomorphisms in prime rings with involution
• On Herstein's Lie map conjectures. III
• Lie derivations of the skew elements of prime rings with involution
• Lie derivations on Banach algebras
• Lie derivations of primitive rings
• Commutativity preserving mappings on semiprime rings
• Lie and Jordan structures in simple associative rings
• Continuity of Lie mappings of the skew elements of Banach algebras with involution
• Continuity of Lie derivations on Banach algebras
• Lie Derivations in Prime Rings With Involution
• On functional identities andd-free subsets of rings, I
• On functional identities andd-free subsets of rings. II
• Characterisations of derivations on some operator algebras
• Symmetric amenability and the nonexistence of Lie and Jordan derivations
• On Herstein's Lie map conjectures. II
• On Lie derivations of Lie ideals of prime algebras

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