Commuting Traces of Biadditive Maps Revisited

DOI10.1081/AGB-120016765zbMath1046.16019MaRDI QIDQ4803360

Matej Brešar, Peter Šemrl

Publication date: 2 April 2003

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

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (18)

Commuting traces of upper triangular matrix rings ⋮ Functional Identities in Jordan Algebras: Associating Traces and Lie Triple Isomorphisms ⋮ On bilinear maps on matrices with applications to commutativity preservers. ⋮ Commuting traces of multilinear maps on invertible elements ⋮ Functional identities in one variable. ⋮ A note on generalized Lie derivations of prime rings ⋮ Multiplicative Lie \(n\)-derivations of triangular rings. ⋮ Functional identities and their applications ⋮ Centralizing traces with automorphisms on triangular algebras ⋮ Lie \(n\)-derivations of unital algebras with idempotents. ⋮ Commuting traces and commutativity preserving maps on triangular algebras. ⋮ Lie (Jordan) derivations of arbitrary triangular algebras ⋮ Lie superderivations of superalgebras ⋮ Biderivations and linear commuting maps on simple generalized Witt algebras over a field ⋮ Commuting Traces of Biadditive Maps on Invertible Elements ⋮ Power commuting traces of bilinear maps on invertible elements ⋮ Weak Jordan derivations of prime rings ⋮ Nonlinear anti-commuting maps of strictly triangular matrix Lie algebras

Cites Work

• Unnamed Item
• Commuting traces of multiadditive mappings
• On Lie-admissible algebras whose commutator Lie algebras are Lie subalgebras of prime associative algebras
• On Herstein's Lie map conjectures. III
• Lie derivations on Banach algebras
• Commutativity preserving mappings on semiprime rings
• Lie and Jordan structures in simple associative rings
• Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
• Continuity of Lie Isomorphisms of Banach Algebras

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