Geodesic
Classification of multiplication modules over multiplication rings with finitely many minimal primes
Glasgow mathematical journal, Tome 67 (2025) no. 1, pp. 67-71

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DOI

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.
DOI : 10.1017/S0017089524000247
Mots-clés : multiplication module, multiplication ring, Dedekind domain, Artinian local principal ideal ring 
Bavula, Volodymyr. Classification of multiplication modules over multiplication rings with finitely many minimal primes. Glasgow mathematical journal, Tome 67 (2025) no. 1, pp. 67-71. doi: 10.1017/S0017089524000247
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     title = {Classification of multiplication modules over multiplication rings with finitely many minimal primes},
     journal = {Glasgow mathematical journal},
     pages = {67--71},
     year = {2025},
     volume = {67},
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     doi = {10.1017/S0017089524000247},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089524000247/}
}
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