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arXiv · 2312.17170

Classification of multiplication modules over multiplication rings with finitely many minimal primes

Volodymyr Bavula
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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.

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Volodymyr Bavula. 2023-12-28. Classification of multiplication modules over multiplication rings with finitely many minimal primes. https://doi.org/10.1017/s0017089524000247

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