A criterion for dualizing modules
Commutative Algebra
2015-03-17 v1
Abstract
We establish a characterization of dualizing modules among semidualizing modules. Let R be a finite dimensional commutative Noetherian ring with identity and C a semidualizing R-module. We show that C is a dualizing R-module if and only if Tor_i^R(E,E') is C- injective for all C-injective R-modules E and E' and all i\geq 0.
Cite
@article{arxiv.1503.04295,
title = {A criterion for dualizing modules},
author = {Kamran Divaani-Aazar and Massoumeh Nikkhah Babaei and Massoud Tousi},
journal= {arXiv preprint arXiv:1503.04295},
year = {2015}
}
Comments
To appear in Tokyo journal of Mathematics