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Acyclic and totally acyclic objects in the $Q$-shaped derived category

Holm, Henrik et al.
arXiv (OAI Expanded) · Papers
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18g8018n40representation-theoryrings-and-algebras
This paper concerns homological algebra based on $Q$-shaped diagrams, where $Q$ belongs to a certain class of small categories. We will show that the Gorenstein property of noetherian commutative rings is characterised by the condition that acyclicity coincides with total acyclicity for $Q$-shaped d
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