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Tensor and torsion products of injective modules - MaRDI portal

Tensor and torsion products of injective modules (Q1181420)

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scientific article; zbMATH DE number 28297
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Tensor and torsion products of injective modules
scientific article; zbMATH DE number 28297

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    Tensor and torsion products of injective modules (English)
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    27 June 1992
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    One proves that for a commutative Noetherian ring \(R\), the following two assertions are equivalent: (a) \(R\) is Gorenstein; (b) for any injective modules \(E,E'\) and any \(i\geq 0\), \(\text{Tor} _ i(E,E')\) is injective.
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    Gorenstein
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    injective modules
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    Tor
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