Differential modules: a perspective on Bass' question
arXiv:2504.15981
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.
23 pages. Minor updates, accepted for publication in Journal of Pure and Applied Algebra