2 papers
math.AC2016
On the reduced grades of modules over commutative rings
Yoshinao Tsuchiya
Let R be a commutative Noetherian ring. Recently, Dibaei and Sadeghi have studied the reduced grade of a horizontally linked R-module M of finite GC-dimension, where C is a semidua…
math.AC2016
When are n-syzygy modules n-torsionfree?
Hiroki Matsui, Ryo Takahashi, Yoshinao Tsuchiya
Let R be a commutative noetherian ring. We consider the question of when n-syzygy modules over R are n-torsionfree in the sense of Auslander and Bridger. Our tools include Serre's…