On localizing subcategories of derived categories
Commutative Algebra
2009-07-15 v2 Rings and Algebras
Abstract
Let A be a commutative noetherian ring. In this paper, we interpret localizing subcategories of the derived category of A by using subsets of Spec A and subcategories of the category of A-modules. We unify theorems of Gabriel, Neeman and Krause.
Cite
@article{arxiv.0712.1874,
title = {On localizing subcategories of derived categories},
author = {Ryo Takahashi},
journal= {arXiv preprint arXiv:0712.1874},
year = {2009}
}
Comments
12 pages, some corrections, to appear in J. Math. Kyoto Univ