Strong generators in tensor triangulated categories
Category Theory
2017-05-17 v1 Commutative Algebra
Abstract
We show that in an essentially small rigid tensor triangulated category with connected Balmer spectrum there are no proper non-zero thick tensor ideals admitting strong generators. This proves, for instance, that the category of perfect complexes over a commutative ring without non-trivial idempotents has no proper non-zero thick subcategories that are strongly generated.
Keywords
Cite
@article{arxiv.1409.0645,
title = {Strong generators in tensor triangulated categories},
author = {Johan Steen and Greg Stevenson},
journal= {arXiv preprint arXiv:1409.0645},
year = {2017}
}
Comments
9 pages, comments welcome