Jordan homomorphisms: A survey

2025/10/19 by Brešar, Matej, Zelmanov, Efim
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2510.16876

Abstract

The paper surveys the history and state-of-the-art of the study of Jordan homomorphisms.

Citations

• Jordan homomorphisms of triangular algebras over noncommutative algebras
• Jordan homomorphisms and T-ideals
• On Lie isomorphisms of rings
• Splittable Jordan homomorphisms and commutator ideals
• Functional identities and their applications

Related

• Characterization of mixed n-Jordan homomorphisms and pseudo n-Jordan homomorphisms
• A survey of the Johnson homomorphisms of the automorphism groups of free groups and related topics
• n-Jordan homomorphisms
• Jordan groups and automorphism groups of algebraic varieties
• Jordan structures in mathematics and physics