Jordan homomorphisms of the symmetric elements of a ring with involution

DOI10.1016/0021-8693(67)90037-3zbMath0164.03601OpenAlexW1963917791MaRDI QIDQ2529224

Wallace S. III Martindale

Publication date: 1967

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

Full work available at URL: https://doi.org/10.1016/0021-8693(67)90037-3

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Derivations, actions of Lie algebras (16W25)

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Polynomial preserving maps on certain Jordan algebras., The Zelmanov approach to Jordan homomorphisms of associative algebras, A Generalization of a Theorem of Jacobson, Jordan Algebras with Interconnected Idempotents, Maps preserving -Lie product on factor von Neumann algebras, Jordan homomorphisms of associative algebras with involution, Jordan homomorphisms onto nondegenerate Jordan algebras, On Herstein’s Lie map conjectures, I, Von Neumann Factors are Perfect, Jordan gradings on associative algebras., On Herstein's Lie map conjectures. II, Abbildungen auf Ringen insbesondere mit Involution, Structure groups and Lie algebras of Jordan algebras of symmetric elements of associative algebras with involution, Jordan triple homomorphisms of associative structures, The structure of projection-valued states: A generalization of Wigner's theorem, Jordan isomorphisms of finitary incidence algebras, On Lie-admissible algebras whose commutator Lie algebras are Lie subalgebras of prime associative algebras

Cites Work

• Lie and Jordan Systems in Simple Rings with Involution
• Lie and Jordan structures in simple associative rings
• Jordan Derivations of Prime Rings
• Homomorphisms of Jordan Rings of Self-Adjoint Elements