A new characterization of the weakly Laskerian (FSF) modules

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 $M\mathrm{/}L$ 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 $M\mathrm{/}N$ and the support of $M\mathrm{/}N$ are equal.