pith. sign in

arxiv: 1203.1294 · v1 · pith:5ASVZWQOnew · submitted 2012-03-06 · 🧮 math.AC · math.RT

Classifying resolving subcategories over a Cohen-Macaulay local ring

classification 🧮 math.AC math.RT
keywords classificationresolvingsubcategoriescohen-macaulaygivelocalringunder
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.