Further results on equivalence of multivariate polynomial matrices
Commutative Algebra
2024-06-25 v1
Abstract
This paper investigates equivalence of square multivariate polynomial matrices with the determinant being some power of a univariate irreducible polynomial. We first generalized a global-local theorem of Vaserstein. Then we proved these matrices are equivalent to their Smith forms by the generalized global-local theorem.
Cite
@article{arxiv.2406.16599,
title = {Further results on equivalence of multivariate polynomial matrices},
author = {Jiancheng Guan and Jinwang Liu and Dongmei Li and Tao Wu},
journal= {arXiv preprint arXiv:2406.16599},
year = {2024}
}