Rings with finite Gorenstein injective dimension
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In this paper we prove that for any associative ring R, and for any left R-module M with nite projective dimension, the Gorenstein injective dimension GidRM equals the usual injective dimension idRM. In particular, if GidRR is nite, then also idRR is nite, and thus R is Gorenstein (provided that R is commutative and Noetherian).
Originalsprog | Engelsk |
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Tidsskrift | Proceedings of the American Mathematical Society |
Vol/bind | 132 |
Udgave nummer | 5 |
Sider (fra-til) | 1279-1283 |
ISSN | 0002-9939 |
Status | Udgivet - 2004 |
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