Classifying resolving subcategories over a Cohen-Macaulay local ring

Details Classifying resolving subcategories over a Cohen-Macaulay local ring Classifying resolving subcategories over a Cohen-Macaulay local ring

2012-03-06

arxiv.org/abs/1203.1294v1

Mathematics

Commutative Algebra

19 pages, to appear in Math. Z

Scientific paper

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.

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