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arXiv · 0809.4141

Duality for a Cohen-Macaulay local ring

Mohammad Ali Esmkhani·Massoud Tousi
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Abstract

Let $(R,\fm)$ be a Cohen-Macaulay local ring. If $R$ has a canonical module, then there are some interesting results about duality for this situation. In this paper, we show that one can indeed obtain similar these results in the case $R$ has not a canonical module. Also, we give some characterizations of complete big Cohen-Macaulay modules of finite injective dimension and by using it some characterizations of Gorenstein modules over the $\fm$-adic completion of $R$ are obtained.

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Mohammad Ali Esmkhani, Massoud Tousi. 2008-09-24. Duality for a Cohen-Macaulay local ring. https://arxiv.org/abs/0809.4141

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