Let R be a commutative Noetherian ring with non-zero identity, a an ideal of R and M,N two R-modules. The main purpose of this paper is to study the circumstances under which, for fixed integers j 2 N0 and n 2 N, the R-modules Extj R(N,Hn a (M)) and TorRj (N,Hn a (M)) are weakly Laskerian or Matlis reflexive. In this way, we also get to some results about the associated primes, coassociated primes and Bass numbers of Hn a (M).
