Dimensions of triangulated categories via Koszul objects

作者：Bergh Petter Andreas; Iyengar Srikanth B; Krause Henning^*; Oppermann Steffen

来源：Mathematische Zeitschrift, 2010, 265(4): 849-864.

DOI：10.1007/s00209-009-0545-4

• Triangulated category
• Koszul object
• Representation dimension

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.

• 出版日期2010-8