Geodesic
Commutative monoids with zero-divisors
Bollettino della Unione matematica italiana, Série 8, 5B (2002) no. 3, pp. 773-788.

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We describe algorithms for computing the nilradical and the zero-divisors of a finitely generated commutative $\emptyset$-monoid. These algorithms will be used for deciding if a given ideal of a finitely generated commutative $\emptyset$-monoid is prime, radical or primary.
Vengono descritti alcuni algoritmi per il calcolo del nilradicale e dei divisori dello zero di uno $\emptyset$-monoide commutativo fintamente generato. Tali algoritmi vengono utilizzati per decidere se un ideale assegnato di uno $\emptyset$-monoide commutativo fintamente generato è primo, radicale o primario. 
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Rosales, J. C. Commutative monoids with zero-divisors. Bollettino della Unione matematica italiana, Série 8, 5B (2002) no. 3, pp. 773-788. http://geodesic.mathdoc.fr/item/BUMI_2002_8_5B_3_a12/

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