Classifying resolving subcategories over a Cohen-Macaulay local ring
Commutative Algebra
2012-03-07 v1 Representation Theory
Abstract
Let R be a Cohen-Macaulay local ring. Denote by mod R the category of finitely generated R-modules. In this paper, we consider the classification problem of resolving subcategories of mod R in terms of specialization-closed subsets of Spec R. We give a classification of the resolving subcategories closed under tensor products and transposes. Under restrictive hypotheses, we also give better classification results.
Cite
@article{arxiv.1203.1294,
title = {Classifying resolving subcategories over a Cohen-Macaulay local ring},
author = {Ryo Takahashi},
journal= {arXiv preprint arXiv:1203.1294},
year = {2012}
}
Comments
19 pages, to appear in Math. Z