Let R be a commutative Noetherian local ring of dimension d, a an ideal of R, and M, N two nitely generated R-modules. We prove that if d 2, then Extp R(M;Hq a(N)) is a-co nite for all p; q 0. Also, if d 3 then the set of associated primes of any quotient of Extp R(R=a;Hq a(M;N)) and Extt R(R=a; Extp R(M;Hq a(N))) are nite for all p; q; t 0.
