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arXiv · 2504.15981

Differential modules: a perspective on Bass' question

David Nkansah
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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.

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David Nkansah. 2025-04-22. Differential modules: a perspective on Bass' question. https://arxiv.org/abs/2504.15981

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