Modules whose minimal free resolutions are self-dual or eventually periodic
Commutative Algebra
2025-12-30 v1
Abstract
Let be a commutative noetherian local ring. In this paper, we study the self-duality and eventual periodicity of minimal free resolutions of finitely generated -modules in terms of their syzygy modules and Ext modules. As an application, we recover theorems of Dey.
Keywords
Cite
@article{arxiv.2512.22595,
title = {Modules whose minimal free resolutions are self-dual or eventually periodic},
author = {Shinnosuke Kosaka},
journal= {arXiv preprint arXiv:2512.22595},
year = {2025}
}
Comments
7 pages