Duality for a Cohen-Macaulay local ring

Details Duality for a Cohen-Macaulay local ring Duality for a Cohen-Macaulay local ring

2008-09-24

arxiv.org/abs/0809.4141v1

Mathematics

Commutative Algebra

20 pages

Scientific paper

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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