A generalization of a theorem of Sharp on big Cohen-Macaulay modules

Abstract

Let (A, m) be a (commutative, Noetherian) local ring, and a1, …, an a system of parameters for A. Let M be an A-module. We say that M is a big Cohen-Macaulay module with respect to a1, …, an if a1, …, an, is an M-sequence. In this case we call M balanced if any system of parameters for A is an M-sequence.