Centralizers and pseudo-degree functions
Rings and Algebras
2015-06-17 v3
Abstract
We study centralizers in certain algebras with valuation in order to generalize results by Hellstr\"{o}m and Silvestrov on centralizers in graded algebras. We prove that the centralizer of an element in the studied algebras is a free module over a certain ring. Under further assumptions we obtain that the centralizer is also commutative.
Cite
@article{arxiv.1311.7666,
title = {Centralizers and pseudo-degree functions},
author = {Johan Richter},
journal= {arXiv preprint arXiv:1311.7666},
year = {2015}
}