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arXiv · 1202.5605

Classification of resolving subcategories and grade consistent functions

Hailong Dao·Ryo Takahashi
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Abstract

We classify certain resolving subcategories of finitely generated modules over a commutative noetherian ring R by using integer-valued functions on Spec R. As an application we give a complete classification of resolving subcategories when R is a locally hypersurface ring. Our results also recover a "missing theorem" by Auslander.

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Hailong Dao, Ryo Takahashi. 2012-02-25. Classification of resolving subcategories and grade consistent functions. https://arxiv.org/abs/1202.5605

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