Gorenstein Injective Covers and Envelopes over Rings That Satisfy the Auslander Condition
Acta Mathematica Universitatis Comenianae
It was recently proved () 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 (). 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.
"Gorenstein Injective Covers and Envelopes over Rings That Satisfy the Auslander Condition."
Acta Mathematica Universitatis Comenianae, 85 (1): 165-172.