CO-COHEN-MACAULAY MODULES IN DIMENSION >s

Abstract

Let (R,m) be a Noetherian local ring and A an Artinian R-module. For an integer s>−1, we say that A is co-Cohen-Macaulay in dimension >sif every system of parameters of A is an A-cosequence in dimension >sintroduced by Nhan-Hoang [NH]. In this paper, we give some characterizations for co-Cohen-Macaulay modules in dimension >sin terms of the dimension of the local homology modules Hm i (A), the polynomial type ld(A) ofA and the multiplicity e(x;A) ofA with respect to a system of parameter x.