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 modR 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 (Sn). We mainly investigate closedness properties of the full subcategories of modR consisting of those modules.