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arxiv: 0802.0952 · v3 · submitted 2008-02-07 · 🧮 math.CT · math.RT

Dimensions of triangulated categories via Koszul objects

classification 🧮 math.CT math.RT
keywords boundsalgebrasartincategoriesdimensionstriangulatedappliedcategory
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Lower bounds for the dimension of a triangulated category are provided. These bounds are applied to stable derived categories of Artin algebras and of commutative complete intersection local rings. As a consequence, one obtains bounds for the representation dimensions of certain Artin algebras.

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