Derived categories of absolutely flat rings
Commutative Algebra
2012-10-02 v1 Category Theory
Abstract
Let S be a commutative ring with topologically noetherian spectrum and let R be the absolutely flat approximation of S. We prove that subsets of the spectrum of R parametrise the localising subcategories of D(R). Moreover, we prove the telescope conjecture holds for D(R). We also consider unbounded derived categories of absolutely flat rings which are not semi-artinian and exhibit an example of a cohomological Bousfield class that is not a Bousfield class.
Cite
@article{arxiv.1210.0399,
title = {Derived categories of absolutely flat rings},
author = {Greg Stevenson},
journal= {arXiv preprint arXiv:1210.0399},
year = {2012}
}
Comments
15 pages, comments welcome