n-gr-Coherent rings and Gorenstein graded modules
Rings and Algebras
2021-06-15 v4 Commutative Algebra
Abstract
Let R be a graded ring and n > 1 an integer. In this paper, We introduce the notions of Ding n-gr-injective and Ding n-gr-flat modules by using of special finitely presented graded modules . Then, some properties of Ding n-gr-injective and Ding n-gr-flat modules are obtained. On n-gr-coherent rings, we investigate the relationships among Ding n-gr-injective and Ding n-gr-flat modules and also, we prove that any graded module in R-gr (resp. gr-R) admits an Ding n-gr-injective (resp. Ding n-gr-flat) cover and preenvelope.
Cite
@article{arxiv.1912.07232,
title = {n-gr-Coherent rings and Gorenstein graded modules},
author = {Mostafa Amini and Driss Bennis and Soumia Mamdouhi},
journal= {arXiv preprint arXiv:1912.07232},
year = {2021}
}