Classification of multiplication modules over multiplication rings with finitely many minimal primes
arXiv:2312.17170 · doi:10.1017/S0017089524000247
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.
5 pages