We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
G-Gorenstein Modules.
- Authors
Aghajani, Mohsen; Zakeri, Hossein; Tang, Zhongming
- 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. We call such a module a G-Gorenstein module. Characterizations of G-Gorenstein modules are given and a class of such modules is determined. It is shown that the class of G-Gorenstein modules strictly contains the class of Gorenstein modules. Also, we provide a Gorenstein injective resolution for a balanced big Cohen-Macaulay R-module. Finally, using the notion of a G-Gorenstein module, we obtain characterizations of Gorenstein and regular local rings.
- Subjects
MODULES (Algebra); COMMUTATIVE rings; NOETHERIAN rings; INJECTIVE modules (Algebra); LOCAL rings (Algebra); MATHEMATICAL analysis; DUALITY theory (Mathematics)
- Publication
Algebra Colloquium, 2012, Vol 19, Issue 3, p433
- ISSN
1005-3867
- Publication type
Article
- DOI
10.1142/S1005386712000296