Centralizers in non-associative rings with a pseudo-degree function
Abstract
This papers studies centralizers of an element, $a$, in the nucleus of a non-associative algebra with a special type of valuation. We prove that the centralizer of $a$ is a free module of finite rank over the algebra generated by $a$.
Fields of Study & Subjects
Rings
Modules
and Algebras
Advanced Topics in Algebra
Algebraic and Geometric Analysis
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 9 January 2026
- Document type
- Preprint