Classification of multiplication modules over multiplication rings with finitely many minimal primes
Rings and Algebras
2025-02-05 v1
Abstract
A classification of multiplication modules over multiplication rings with finitely many minimal primes is obtained. A characterisation of multiplication rings with finitely many minimal primes is given via faithful, Noetherian, distributive modules. It is proven that for a multiplication ring with finitely many minimal primes every faithful, Noetherian, distributive module is a faithful multiplication module, and vice versa.
Keywords
Cite
@article{arxiv.2312.17170,
title = {Classification of multiplication modules over multiplication rings with finitely many minimal primes},
author = {Volodymyr Bavula},
journal= {arXiv preprint arXiv:2312.17170},
year = {2025}
}
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5 pages