Gorenstein injective modules and Auslander categories |
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| Authors: | Mohammad Ali Esmkhani Massoud Tousi |
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| Institution: | (1) Department of Mathematics, Shahid Beheshti University, Tehran, Iran;(2) Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 19395-5746, Tehran, Iran |
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| Abstract: | In this paper, we study Gorenstein injective modules over a local Noetherian ring R. For an R-module M, we show that M is Gorenstein injective if and only if Hom
R
(Ȓ,M) belongs to Auslander category B(Ȓ), M is cotorsion and Ext
i
R
(E,M) = 0 for all injective R-modules E and all i > 0.
Received: 24 August 2006 Revised: 30 October 2006 |
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| Keywords: | Primary 13D05 13D07 Secondary 13C11 |
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