On Lie derivations of Lie ideals of prime algebras

DOI10.1007/BF02784122zbMath0982.16025OpenAlexW2057043501MaRDI QIDQ5939277

Kostia I. Beidar, Mikhail A. Chebotar

Publication date: 2 April 2002

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02784122

zbMATH Keywords

prime algebrasLie derivationscentersfunctional identitiesLie idealspolynomial identities

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Derivations, actions of Lie algebras (16W25)

Related Items (33)

On Herstein's Lie map conjectures. III ⋮ On Functional Identities Involving Quasi-polynomials of Degree One ⋮ A NOTE ON DERIVATIONS, ADDITIVE SUBGROUPS, AND LIE IDEALS OF PRIME RINGS ⋮ Functional Identities in Jordan Algebras: Associating Traces and Lie Triple Isomorphisms ⋮ Lie triple and Jordan derivable mappings on nest algebras ⋮ Ond-Free Rings ⋮ Multiplicative Lie derivations on triangular n-matrix rings ⋮ Triple derivations and triple homomorphisms of perfect Lie superalgebras ⋮ Triple Derivations of Perfect Lie Algebras ⋮ Lie superhomomorphisms on Lie ideals in superalgebras ⋮ Multiplicative Lie \(n\)-derivations of generalized matrix algebras. ⋮ A note on generalized Lie derivations of prime rings ⋮ Functional identities and their applications ⋮ Generalized Lie derivations on skew elements of prime algebras with involution. ⋮ Lie derivations of triangular algebras without assuming unity ⋮ Characterization of multiplicative Lie triple derivations on rings ⋮ MAPS CHARACTERIZED BY ACTION ON LIE ZERO PRODUCTS ⋮ Konstantin Igorevich Beidar (1951-2004) ⋮ Lie derivations of certain CSL algebras ⋮ Lie Triple Derivable Mappings on Rings ⋮ Lie \(n\)-derivations of unital algebras with idempotents. ⋮ Lie derivations of generalized matrix algebras. ⋮ Commuting traces and commutativity preserving maps on triangular algebras. ⋮ Lie (Jordan) derivations of arbitrary triangular algebras ⋮ On Herstein's Lie map conjectures. II ⋮ DERIVATIONS OF THE LOCALLY NILPOTENT MATRIX RINGS ⋮ Lie derivable maps on \(B(X)\) ⋮ On generalized Lie derivations of Lie ideals of prime algebras. ⋮ Characterizing Lien-derivations for reflexive algebras ⋮ Unnamed Item ⋮ On functional identities andd-free subsets of rings, I ⋮ On functional identities andd-free subsets of rings. II ⋮ Lie derivations of $\mathcal J$-subspace lattice algebras

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