Document Type
Article
Publication Date
1-1-2017
Publication Title
Communications in Algebra
DOI
10.1080/00927872.2016.1233193
ISSN
1532-4125
Abstract
We prove that the class of Gorenstein injective modules is both enveloping and covering over a two sided noetherian ring such that the character modules of Gorenstein injective modules are Gorenstein flat. In the second part of the paper we consider the connection between the Gorenstein injective modules and the strongly cotorsion modules. We prove that when the ring R is commutative noetherian of finite Krull dimension, the class of Gorenstein injective modules coincides with that of strongly cotorsion modules if and only if the ring R is in fact Gorenstein.
Recommended Citation
Iacob, Alina.
2017.
"Gorenstein Injective Envelopes and Covers Over Two Sided Noetherian Rings."
Communications in Algebra, 45 (5): 2238-2244.
doi: 10.1080/00927872.2016.1233193
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/567
Comments
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