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Paper IPM / M / 8540 |
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Abstract: | |||||
In this paper, we study Gorenstein injeetive modules over a local
Noetherian ring R. For an R-module M, we show that M is
Gorenstein injective if and only if HomR(∧R, M) belongs
to Auslander category B(∧R), M is cotorsion and
ExtiR(E, M) = 0 for all injective R-modules E and all
i > 0.
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