Resumen de On the subcategories of n-torsionfree modules and related modules
Souvik Dey, Ryo Takahashi
Let R be a commutative noetherian ring. Denote by {\textsf{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 (\mathrm {S}_n). We mainly investigate closedness properties of the full subcategories of {\textsf{mod }}\,R consisting of those modules.
