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arXiv · 1203.1294

Classifying resolving subcategories over a Cohen-Macaulay local ring

Ryo Takahashi
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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.

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Ryo Takahashi. 2012-03-06. Classifying resolving subcategories over a Cohen-Macaulay local ring. https://arxiv.org/abs/1203.1294

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