A new characterization of the weakly Laskerian (FSF) modules
Commutative Algebra
2025-07-08 v1
Abstract
Let be a commutative Noetherian ring and be an -module such that the set of associated prime ideals of the quotient module is finite for all submodules of . In this paper, it is shown that there is a finitely generated submodule of such that the set of associated primes of and the support of are equal.
Cite
@article{arxiv.2507.04573,
title = {A new characterization of the weakly Laskerian (FSF) modules},
author = {Ali Fathi},
journal= {arXiv preprint arXiv:2507.04573},
year = {2025}
}