%0 Journal Article
%T Duality for a Cohen-Macaulay local ring
%A Mohammad Ali Esmkhani
%A Massoud Tousi
%J Mathematics
%D 2008
%I arXiv
%X 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.
%U http://arxiv.org/abs/0809.4141v1