Local dualisable objects in local algebra

Published 16 Feb 2023 in math.AC | (2302.08562v1)

Abstract: We discuss dualisable objects in minimal subcategories of compactly generated tensor triangulated categories, paying special attention to the derived category of a commutative noetherian ring. A cohomological criterion for detecting these local dualisable objects is established. Generalisations to other related contexts are discussed.

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