English

Centralizers in non-associative rings with a pseudo-degree function

Rings and Algebras 2026-01-12 v1

Abstract

This papers studies centralizers of an element, aa, in the nucleus of a non-associative algebra with a special type of valuation. We prove that the centralizer of aa is a free module of finite rank over the algebra generated by aa.

Keywords

Cite

@article{arxiv.2601.05797,
  title  = {Centralizers in non-associative rings with a pseudo-degree function},
  author = {Johan Richter},
  journal= {arXiv preprint arXiv:2601.05797},
  year   = {2026}
}
R2 v1 2026-07-01T08:57:45.668Z