Work

Differential modules: a perspective on Bass' question

Year: 2026

Type: article

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.

Source: Journal of Pure and Applied Algebra

DOI: 10.1016/j.jpaa.2026.108259

Author: David Nkansah

Language: English

Topic: Commutative Algebra and Its Applications

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,550

Funders: Danmarks Frie Forskningsfond, Danmarks Frie Forskningsfond

Award: G2282158870