$k$-torsionfree modules and Frobenius extensions
Representation Theory
2023-12-20 v2
Abstract
Let be a Frobenius extension and be a positive integer. We prove that an -module is -torsionfree if and only if so is its underlying -module. As an application, we obtain that if is a quasi -Gorenstein ring then so is , but the converse does not hold in general.
Cite
@article{arxiv.2301.01903,
title = {$k$-torsionfree modules and Frobenius extensions},
author = {Zhibing Zhao},
journal= {arXiv preprint arXiv:2301.01903},
year = {2023}
}