arXiv subjects

Yoshinao Tsuchiya

Publications and source records attributed to Yoshinao Tsuchiya.

2 recordsLinked to original sources

arXiv2016

On the reduced grades of modules over commutative rings

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 semidualizing R-module. In this paper, we highly refine their results. In particular, our main result removes the assumptions that M is holizontally linked and M has finite GC -dimension.

math.AC↗

arXiv2016

When are n-syzygy modules n-torsionfree?

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 condition and certain conditions on the local Gorenstein property of R. Our main result implies the converse of a celebrated theorem of Evans and Griffith.

math.AC↗