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- Title
A local-global principle for small triangulated categories.
- Authors
BENSON, DAVE; IYENGAR, SRIKANTH B.; KRAUSE, HENNING
- Abstract
Local cohomology functors are constructed for the category of cohomological functors on an essentially small triangulated category ⊺ equipped with an action of a commutative noetherian ring. This is used to establish a local-global principle and to develop a notion of stratification, for ⊺ and the cohomological functors on it, analogous to such concepts for compactly generated triangulated categories.
- Subjects
CATEGORIES (Mathematics); COHOMOLOGY theory; NOETHERIAN rings; INTEGRALS; MATHEMATICAL analysis
- Publication
Mathematical Proceedings of the Cambridge Philosophical Society, 2015, Vol 158, Issue 3, p451
- ISSN
0305-0041
- Publication type
Article
- DOI
10.1017/S0305004115000067