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Differential modules: a perspective on Bass' question

Published 22 Apr 2025 in math.RT and math.AC | (2504.15981v1)

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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