Radicals in primitive axial algebras
Abstract
The paper contributes to the structure theory of primitive axial algebras. For a primitive axial algebra $A$ with a Frobenius form we compare the largest ideal $R(A)$ not containing any of the generating axes, the radical $A^\perp$ of the form, and the Jacobson radical $J(A)$, which we define simply as the intersection of all maximal ideals of $A$.
Fields of Study & Subjects
Advanced Topics in Algebra
Finite Group Theory Research
Rings
Modules
and Algebras
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 12 February 2026
- Language
- EN
- Document type
- Preprint