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

> s if every system of parameters of A is an A-cosequence in dimension

> s introduced by Nhan-Hoang [NH]. In this paper, we give some char

acterizations for co-Cohen-Macaulay modules in dimension > s in terms

of the dimension of the local homology modules Hi m(A), the polynomial

type ld(A) of A and the multiplicity e(x; A) of A with respect to a system

of parameter x.