Analysis of injective dimension in local commutative noetherian rings suggests new insights into Cohen-Macaulay structures.
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) studied this question.
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