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Vol. 51 No. 3–4 (2025)
Serdica Mathematical Journal

Surveys

Jordan homomorphism: a syrvey

https://doi.org/10.55630/serdica.2025.51.203-230

Published 23-12-2025

  • Matej Brešar
    • ,
  • Efim Zelmanov

Matej Brešar
University of Ljubljana and University of Maribor

Efim Zelmanov
Southern University of Science and Technology, Shenzhen, China

Abstract

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

2020 Mathematics Subject Classification:

16W10, 6W20, 6W25, 16R10, 16R60, 17C05, 17C50, 15A86

Keywords

Jordan homomorphism, homomorphism,, antihomomorphism,, associative algebra, Jordan algebra, involution, symmetric element, commutator ideal, tetrad-eating T-ideal, functional identities, Jordan derivation, derivation,, Lie homomorphism

Full text

Author Details

Matej Brešar

Faculty of Mathematics and Physics
University of Ljubljana, Slovenia
and
Faculty of Natural Sciences and Mathematics
University of Maribor, Slovenia
and
IMFM, Ljubljana, Slovenia
e-mail: matej.bresar@fmf.uni-lj.si

Efim Zelmanov

SICM, Southern University of Science and Technology
Shenzhen, China
e-mail: efim.zelmanov@gmail.com

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