Differential modules: a perspective on Bass' question
Abstract
Guided by the $Q$-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.
Fields of Study & Subjects
Algebraic structures and combinatorial models
Commutative Algebra and Its Applications
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Journal of Pure and Applied Algebra
- Publisher
- Elsevier BV
- Volume
- 230
- Issue
- 5
- Pages
- 108259–108259
- Publication date
- 17 April 2026
- Language
- EN