Thick subcategories of modules over commutative rings
Commutative Algebra
2007-05-23 v1 Rings and Algebras
Abstract
For a commutative noetherian ring A, we compare the support of a complex of A-modules with the support of its cohomology. This leads to a classification of all full subcategories of A-modules which are thick (that is, closed under taking kernels, cokernels, and extensions) and closed under taking direct sums.
Cite
@article{arxiv.math/0703158,
title = {Thick subcategories of modules over commutative rings},
author = {Henning Krause},
journal= {arXiv preprint arXiv:math/0703158},
year = {2007}
}