On the reduced grades of modules over commutative rings
Commutative Algebra
2016-05-17 v1
Abstract
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.
Cite
@article{arxiv.1605.04722,
title = {On the reduced grades of modules over commutative rings},
author = {Yoshinao Tsuchiya},
journal= {arXiv preprint arXiv:1605.04722},
year = {2016}
}