Classifying Resolving Subcategories
Commutative Algebra
2017-01-25 v4
Abstract
We use the theory of Auslander Buchweitz approximations to classify certain resolving subcategories containing a semidualizing or a dualizing module. In particular, we show that if the ring has a dualizing module, then the resolving subcategories containing maximal Cohen-Macaulay modules are in bijection with grade consistent functions and thus are the precisely the dominant resolving subcategories.
Cite
@article{arxiv.1409.1469,
title = {Classifying Resolving Subcategories},
author = {William Sanders},
journal= {arXiv preprint arXiv:1409.1469},
year = {2017}
}