Abstract. Let (R,m) be a complete local ring, aan ideal of R and N and L two Matlis reflexive R-modules with Supp(L) V (a). We prove that if M is a finitely generated R-module, then Exti R(L,Hj a(M,N)) is Matlis reflexive for all i and j in the following cases: (a) dimR/a= 1; (b) cd(a) = 1; where cd is the cohomological dimension of ain R; (c) dimR 62. In these cases we also prove that the Bass numbers of Hj a(M,N) are finite.
