A local-global principle for small triangulated categories-Reference-Cited by-同舟云学术

A local-global principle for small triangulated categories

Published:2015-03-02 Issue:3 Volume:158 Page:451-476
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

BENSON DAVE,IYENGAR SRIKANTH B.,KRAUSE HENNING

Abstract

AbstractLocal 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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