Differential modules: a perspective on Bass' question
Representation Theory
2026-04-16 v2 Commutative Algebra
Abstract
Guided by the -shaped derived category framework introduced by Holm and Jorgensen, we provide a differential module analogue of a classical result that characterises when a finitely generated module over a local commutative noetherian ring has finite injective dimension. As an application, we characterise local Cohen-Macaulay rings using the homological algebra of differential modules.
Cite
@article{arxiv.2504.15981,
title = {Differential modules: a perspective on Bass' question},
author = {David Nkansah},
journal= {arXiv preprint arXiv:2504.15981},
year = {2026}
}
Comments
23 pages. Minor updates, accepted for publication in Journal of Pure and Applied Algebra