Two-generated ideals in non-Noetherian semigroup rings (Q1921370)
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scientific article; zbMATH DE number 920034
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two-generated ideals in non-Noetherian semigroup rings |
scientific article; zbMATH DE number 920034 |
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Two-generated ideals in non-Noetherian semigroup rings (English)
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15 April 1997
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The authors determine when a commutative semigroup ring \(R[S]\) has the 2-generator property for large classes of commutative cancellative monoids \(S\) which are not torsion groups and commutative rings \(R\). They also give a structure theorem for certain finitely generated torsion-free modules over the above semigroup rings.
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commutative semigroup rings
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2-generator property
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commutative cancellative monoids
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finitely generated torsion-free modules
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