Image of arbitrary polynomials on upper triangular matrix algebras
Rings and Algebras
2023-03-02 v2
Abstract
The goal of the paper is to give a complete description of the images of noncommutative polynomials with zero constant term on upper triangular matrix algebras over an algebraically closed field. This is a variation of the old and famous Lvov-Kaplansky conjecture.
Cite
@article{arxiv.2302.14377,
title = {Image of arbitrary polynomials on upper triangular matrix algebras},
author = {Qian Chen and Yu Wang},
journal= {arXiv preprint arXiv:2302.14377},
year = {2023}
}
Comments
arXiv admin note: This submission has been withdrawn by arXiv administrators due to withdrawal by the journal. Please see: https://doi.org/10.1016/j.jalgebra.2022.10.038