On the vanishing of self extensions of even-periodic modules
Commutative Algebra
2024-08-07 v1
Abstract
In this paper we study rigid modules over commutative Noetherian local rings, establish new freeness criteria for certain periodic rigid modules, and extend several results from the literature. Along the way, we prove general Ext vanishing results over Cohen-Macaulay rings and investigate modules which have zero class in the reduced Grothendieck group with rational coefficients.
Cite
@article{arxiv.2408.02820,
title = {On the vanishing of self extensions of even-periodic modules},
author = {Ela Celikbas and Olgur Celikbas and Hiroki Matsui and Ryo Takahashi},
journal= {arXiv preprint arXiv:2408.02820},
year = {2024}
}
Comments
12 pages