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Classification of multiplication modules over multiplication rings with finitely many minimal primes
Part of
Volodymyr Bavula
Journal:

Glasgow Mathematical Journal , First View

Published online by Cambridge University Press:

03 October 2024, pp. 1-5
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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.

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