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arXiv · 2101.04465

On the Subcategories of n-Torsionfree Modules and Related Modules

Souvik Dey·Ryo Takahashi
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Abstract

Let R be a commutative noetherian ring. Denote by mod R the category of finitely generated R-modules. In this paper, we study n-torsionfree modules in the sense of Auslander and Bridger, by comparing them with n-syzygy modules, and modules satisfying Serre's condition (S_n). We mainly investigate closedness properties of the full subcategories of mod R consisting of those modules.

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Souvik Dey, Ryo Takahashi. 2021-01-12. On the Subcategories of n-Torsionfree Modules and Related Modules. https://arxiv.org/abs/2101.04465

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