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Global dimension of dg algebras via compact silting objects

Kostas, Panagiotis
arXiv (All) · Papers
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18g80category-theoryrepresentation-theoryrings-and-algebras
We introduce a notion of global dimension for a triangulated category relative to a compact silting object. We prove that the finiteness of this dimension is an intrinsic property of the triangulated category itself and, therefore, independent of the choice of the silting object. Focusing on the set
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