BASS NUMBERS OF MODULES WITH FINITE COUSIN COHOMOLOGIES

Let R be a commutative Noetherian ring with non-zero identity and let X be an arbitrary R–module. Inthis paper, we show that if all the cohomology modules of the Cousin complex for X is finitely generated,then the ith Bass number of X with respect to any prime ideal p of R is finite for all i less than X–height ofp.