2025/07/06 by Fathi, Ali
#13C05 #13E99 #Commutative Algebra (math.AC) #FOS: Mathematics
paper · doi:10.48550/arxiv.2507.04573
Let R be a commutative Noetherian ring and M be an R-module such that the set of associated prime ideals of the quotient module M/L is finite for all submodules L of M. In this paper, it is shown that there is a finitely generated submodule N of M such that the set of associated primes of M/N and the support of M/N are equal.