Let R be a Noetherian ring, M a finitely generated R-module and N an
arbitrary R-module. We consider the generalized local cohomology modules,
with respect to an arbitrary ideal I of R, and prove that, for all
nonnegative integers r, t and all p ? Spec(R) the Bass number ?r(p,HtI
(M,N)) is bounded above by ?tj=0?r(p, t?jExtR (M,HjI (N))). A corollary
is that Ass (HtI (M,N)? Utj=0 Ass (t?jExtR (M,HjI(N))). In a
slightly different direction, we also present some well known results about
generalized local cohomology modules.
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