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

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DOI

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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     title = {One-Dimensional {Monoid} {Rings} with {n-Generated} {Ideals}},
     journal = {Canadian mathematical bulletin},
     pages = {344--350},
     year = {1993},
     volume = {36},
     number = {3},
     doi = {10.4153/CMB-1993-047-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1993-047-3/}
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