On the Subcategories of n-Torsionfree Modules and Related Modules
Commutative Algebra
2021-01-13 v1 Representation Theory
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.
Keywords
Cite
@article{arxiv.2101.04465,
title = {On the Subcategories of n-Torsionfree Modules and Related Modules},
author = {Souvik Dey and Ryo Takahashi},
journal= {arXiv preprint arXiv:2101.04465},
year = {2021}
}
Comments
12 pages. Comments are Welcome!