Dimensions of triangulated categories via Koszul objects

Details Dimensions of triangulated categories via Koszul objects Dimensions of triangulated categories via Koszul objects

2008-02-07

arxiv.org/abs/0802.0952v3

Mathematics

Category Theory

Final revised version, to appear in Math. Z

Scientific paper

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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