Openness with respect to levels in triangulated categories
Abstract
Given a compactly generated triangulated category T equipped with an action of a graded-commutative Noetherian ring R, generalizing results of Letz, we prove a general result concerning the openness with respect to levels of compact objects in T. Applications are given to derived categories of commutative Noetherian rings, derived categories of commutative Noetherian DG rings and singularity categories.
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