G-Gorenstein Modules

Abstract

Let R be a commutative Noetherian ring. In this paper, we study those finitely generated R-modules whose Cousin complexes provide Gorenstein injective resolutions.

G-Gorenstein Complexes

“…We can extend several properties of Gorenstein modules proved by Sharp to the case of G-Gorenstein complexes. Our work generalizes that of Aghajani and Zakeri who introduced in [1] the notion of a G-Gorenstein module (see also [22]).…”