paper

Duality for a Cohen-Macaulay local ring

arXiv:0809.4141

Abstract

Let $(R,\fm)$ be a Cohen-Macaulay local ring. If 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 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 are obtained.

20 pages

Duality for a Cohen-Macaulay local ring · wovepaper