Geodesic
Commutative monoids with zero-divisors
Bollettino della Unione matematica italiana, Série 8, 5B (2002) no. 3, pp. 773-788 Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica

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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. 
@article{BUMI_2002_8_5B_3_a12,
     author = {Rosales, J. C.},
     title = {Commutative monoids with zero-divisors},
     journal = {Bollettino della Unione matematica italiana},
     pages = {773--788},
     year = {2002},
     volume = {Ser. 8, 5B},
     number = {3},
     zbl = {1147.20316},
     mrnumber = {MR1934380},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2002_8_5B_3_a12/}
}
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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/