One-Dimensional Monoid Rings with n-Generated Ideals
1993 ◽
Vol 36
(3)
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pp. 344-350
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AbstractA 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.
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1999 ◽
Vol 60
(1)
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pp. 137-151
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2016 ◽
Vol 26
(04)
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pp. 763-773
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2013 ◽
Vol 13
(02)
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pp. 1350083
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1978 ◽
Vol 21
(3)
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pp. 373-375
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2016 ◽
Vol 15
(09)
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pp. 1650176
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1982 ◽
Vol 92
(1)
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pp. 35-39
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2012 ◽
Vol 04
(04)
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pp. 1250059
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2015 ◽
Vol 22
(spec01)
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pp. 817-822
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