Cohen-Macaulay flat dimension and local homology modules

Abstract

Let a be an ideal of a commutative Noetherian ring R, M a nitely generated R-modulewith nite at dimension and N an arbitrary R-module with nite Cohen-Macaulay at dimension.We prove that the generalized local homology module H^a_i(M, N) = 0 for
each i larger than the Cohen-Macaulay at dimension of N. As an application,
we present a characterization for regularity of localrings having dualizing modules.