Centralizers in Free Associative Algebras and Generic Matrices
Rings and Algebras
2025-03-28 v5
Abstract
This paper is concerned with the completion of the proof of the Bergman centralizer theorem by using generic matrices based on our previous quantization proof \cite{KBRZh}. Additionally, we establish that the algebra of generic matrices with characteristic coefficients is integrally closed.
Keywords
Cite
@article{arxiv.1812.03307,
title = {Centralizers in Free Associative Algebras and Generic Matrices},
author = {Alexei Belov-Kanel and Farrokh Razavinia and Wenchao Zhang},
journal= {arXiv preprint arXiv:1812.03307},
year = {2025}
}
Comments
18 pages