Geodesic
One-Dimensional Monoid Rings with n-Generated Ideals
Canadian mathematical bulletin, Tome 36 (1993) no. 3, pp. 344-350

Voir la notice de l'article provenant de la source Cambridge University Press

A commutative ring R is said to have the n-generator property if each ideal of R can be generated by n elements. Rings with the n-generator property have Krull dimension at most one. In this paper we consider the problem of determining when a one-dimensional monoid ring R[S] has the n-generator property where R is an artinian ring and S is a commutative cancellative monoid. As an application, we explicitly determine when such monoid rings have the three-generator property.
DOI : 10.4153/CMB-1993-047-3
Mots-clés : 20M25, 13E15, 13F99 
Okon, James S. One-Dimensional Monoid Rings with n-Generated Ideals. Canadian mathematical bulletin, Tome 36 (1993) no. 3, pp. 344-350. doi: 10.4153/CMB-1993-047-3
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