Classification of multiplication modules over multiplication rings with finitely many minimal primes
Abstract A classification of multiplication modules over multiplication rings with finitely many minimal primes is obtained. A characterization 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.
Authors
- V. V. Bavula (ORCID: https://orcid.org/0000-0003-2450-2075)
Institutions
- University of Sheffield (GB)
Publication Details
- Journal
- Glasgow Mathematical Journal
- Published
- 2024-10-03
- DOI
- https://doi.org/10.1017/s0017089524000247
- Primary Topic
- Rings, Modules, and Algebras
- Type
- article
- Field-Weighted Citation Impact
- 0.00