Journal Article When are n-syzygy modules n-torsionfree?

Matsui, Hiroki  ,  Takahashi, Ryo  ,  Tsuchiya, Yoshinao

108 ( 4 )  , pp.351 - 355 , 2017-04 , Springer
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.

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