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arXiv · 1409.1469

Classifying Resolving Subcategories

William Sanders
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Abstract

We use the theory of Auslander Buchweitz approximations to classify certain resolving subcategories containing a semidualizing or a dualizing module. In particular, we show that if the ring has a dualizing module, then the resolving subcategories containing maximal Cohen-Macaulay modules are in bijection with grade consistent functions and thus are the precisely the dominant resolving subcategories.

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William Sanders. 2014-09-04. Classifying Resolving Subcategories. https://doi.org/10.2140/pjm.2017.286.401

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