ON SURJECTIVE LIE HOMOMORPHISMS ONTO LIE IDEALS OF PRIME RINGS

DOI10.1081/AGB-100106785zbMath1004.16030OpenAlexW1999936647MaRDI QIDQ2758273

Kostia I. Beidar, Mikhail A. Chebotar

Publication date: 6 February 2003

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

Full work available at URL: https://doi.org/10.1081/agb-100106785

zbMATH Keywords

prime algebrasgroups of automorphismsLie mapsfunctional identitiesLie idealsstandard polynomial identitiessurjective Lie homomorphisms

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (17)

On Herstein's Lie map conjectures. III ⋮ On Functional Identities Involving Quasi-polynomials of Degree One ⋮ FUNCTIONAL IDENTITIES REVISED: THE FRACTIONAL AND THE STRONG DEGREE ⋮ Polynomial preserving maps on certain Jordan algebras. ⋮ Functional Identities in Jordan Algebras: Associating Traces and Lie Triple Isomorphisms ⋮ Lie Isomorphisms onH*-Algebras ⋮ Ond-Free Rings ⋮ On maps preserving square-zero matrices. ⋮ Commutativity-preserving maps on Lie ideals of prime algebras. ⋮ Functional identities and their applications ⋮ On Herstein’s Lie map conjectures, I ⋮ Konstantin Igorevich Beidar (1951-2004) ⋮ Commuting traces and commutativity preserving maps on triangular algebras. ⋮ On Lie derivations of Lie ideals of prime algebras ⋮ Generalized functional identities with (anti-)automorphisms and derivations on prime rings. I ⋮ On functional identities andd-free subsets of rings, I ⋮ On functional identities andd-free subsets of rings. II

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