Let (R;m) be a Noetherian local ring, a a proper ideal of R, and M;N two ¯nitely generated R-modules of ¯nite projective dimension m and of ¯nite dimension n, respectively. It is shown that if n · 2, then the generalized local cohomology module Hm+n a (M;N) is a co-Cohen{Macaulay module. Additionally, we show that Hi a(M;N) = 0 for all i > m + s and Hm+s a (M;N) »= Extm R (M;Hs a(N)), where s is the cohomological dimension of N with respect to a
