Mathematical Sciences: Faculty Publications
Gorenstein Injective Covers and Envelopes over Rings That Satisfy the Auslander Condition
Document Type
Article
Publication Date
1-21-2016
Publication Title
Acta Mathematica Universitatis Comenianae
ISSN
0862-9544
Abstract
It was recently proved ([12]) that the class of Gorenstein injective left R-modules is both covering and enveloping over a two sided noetherian ring R with the property that the character modules of the Gorenstein injective left R-modules are Gorenstein flat. It was also proved that over the same type of rings, the class of Gorenstein at right R-modules is preenveloping ([11]). We prove here that if R is a two sided noetherian ring R such that R satises the Auslander condition and has nite nitistic left injective dimension then R has the desired property: the character module of any Gorenstein injective is Gorenstein flat.
Recommended Citation
Iacob, Alina.
2016.
"Gorenstein Injective Covers and Envelopes over Rings That Satisfy the Auslander Condition."
Acta Mathematica Universitatis Comenianae, 85 (1): 165-172.
source: http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/228
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/345
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