2019•Communications in AlgebraRequires access
On the existence of maximal Cohen-Macaulay modules over Noetherian complete local rings
Mehrzad Khanjari, Kamal Bahmanpour, Ghader Ghasemi
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Abstract
Let (R,m) be a Noetherian complete local ring of dimension d and x1,…,xd be a system of parameters for R. Assume that M is a big Cohen-Macaulay module with respect to x1,…,xd. In this paper it is shown that if the R-module M/mM is of finite length then D Γm(D M) is a maximal Cohen-Macaulay R-module, where D denotes the Matlis dual functor.