Polynomial preserving maps on certain Jordan algebras.

DOI10.1007/BF02772225zbMath1060.16026OpenAlexW1990850631MaRDI QIDQ1885662

Kostia I. Beidar, Matej Brešar, Wallace S. III Martindale, Mikhail A. Chebotar

Publication date: 11 November 2004

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

Full work available at URL: https://doi.org/10.1007/bf02772225

zbMATH Keywords

algebras with involutionderivationshomomorphismsJordan structuressymmetric elementslinear maps

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) 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) Identities and free Jordan structures (17C05)

Related Items

Lie superhomomorphisms on Lie ideals in superalgebras ⋮ Functional identities and their applications ⋮ Konstantin Igorevich Beidar (1951-2004)

Cites Work

• Unnamed Item
• Unnamed Item
• Prime Jordan algebras. II
• Jordan homomorphisms onto nondegenerate Jordan algebras
• The Zelmanov approach to Jordan homomorphisms of associative algebras
• Lie isomorphisms of the skew elements of a simple ring with involution
• On additive isomorphisms of prime rings preserving polynomials
• Lie isomorphisms in prime rings with involution
• On Herstein's Lie map conjectures. III
• Centralizing mappings and derivations in prime rings
• Jordan homomorphisms of the symmetric elements of a ring with involution
• Semi -automorphisms of rings
• On Herstein’s Lie map conjectures, I
• ON SURJECTIVE LIE HOMOMORPHISMS ONTO LIE IDEALS OF PRIME RINGS
• Jordan Homomorphisms
• Lie and Jordan structures in simple associative rings
• Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
• On lie isomorphisms in prime rings with involution
• Maps preservingn^thpowers¹
• On Functional Identities in Prime Rings with Involution II^*
• On functional identities andd-free subsets of rings, I
• On functional identities andd-free subsets of rings. II
• On the Automorphisms of a Sfield
• Jordan Homomorphisms of Rings
• Homomorphisms of Jordan Rings of Self-Adjoint Elements
• On Herstein's Lie map conjectures. II