Radicals in primitive axial algebras
Rings and Algebras
2026-02-13 v1
Abstract
The paper contributes to the structure theory of primitive axial algebras. For a primitive axial algebra with a Frobenius form we compare the largest ideal not containing any of the generating axes, the radical of the form, and the Jacobson radical , which we define simply as the intersection of all maximal ideals of .
Cite
@article{arxiv.2602.11984,
title = {Radicals in primitive axial algebras},
author = {Andrey Mamontov and Sergey Shpectorov and Victor Zhelyabin},
journal= {arXiv preprint arXiv:2602.11984},
year = {2026}
}