| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4587145 | Journal of Algebra | 2009 | 9 Pages |
Abstract
A complex C is called Gorenstein injective if there exists an exact sequence of complexes ⋯→I−1→I0→I1→⋯ such that each Ii is injective, C=Ker(I0→I1) and the sequence remains exact when Hom(E,−) is applied to it for any injective complex E. We show that over a left Noetherian ring R, a complex C of left R-modules is Gorenstein injective if and only if Cm is Gorenstein injective in R-Mod for all m∈Z. Also Gorenstein injective dimensions of complexes are considered.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
