The factorization problem for Jordan algebras. Applications
Rings and Algebras
2023-11-09 v3
Abstract
We investigate the factorization problem as well as the classifying complements problem in the setting of Jordan algebras. Matched pairs of Jordan algebras and the corresponding bicrossed products are introduced. It is shown that any Jordan algebra which factorizes through two given Jordan algebras is isomorphic to a bicrossed product associated to a certain matched pair between the same two Jordan algebras. Furthermore, a new type of deformation of a Jordan algebra is proposed as the main step towards solving the classifying complements problem.
Keywords
Cite
@article{arxiv.2202.05121,
title = {The factorization problem for Jordan algebras. Applications},
author = {A. L. Agore and G. Militaru},
journal= {arXiv preprint arXiv:2202.05121},
year = {2023}
}
Comments
To appear in Collectanea Math.; Continues arXiv:1204.1805, arXiv:1205.6110, arXiv:1205.6564, arXiv:1311.6232, arXiv:1312.4018, arXiv:1603.01854, arXiv:1611.05674, arXiv:2107.04970