ABSTRACT
We show that the first non-finitely generated generalized local cohomology modules of a finite modules M and N over a Noetherian ring R with respect to an ideal
of R has only finitely many associated primes. This generalizes the corresponding result which is shown in Citation[1] for standard local cohomology module.
ACKNOWLEDGMENT
The authors would like to thank the University of Tehran for the facilities offered during the preparation of this paper. The first author's research was supported in part by a grant from IPM.