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arXiv · 2507.04573

A new characterization of the weakly Laskerian (FSF) modules

Ali Fathi
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Abstract

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.

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Ali Fathi. 2025-07-06. A new characterization of the weakly Laskerian (FSF) modules. https://doi.org/10.4134/ckms.c240263

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