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.
|Number of pages||26|
|Journal||Mathematical Proceedings of the Cambridge Philosophical Society|
|Early online date||2 Mar 2015|
|Publication status||Published - May 2015|
Benson, D., Iyengar, S., & Krause, H. (2015). A local-global principle for small triangulated categories. Mathematical Proceedings of the Cambridge Philosophical Society, 158(3), 451-476. https://doi.org/10.1017/S0305004115000067