Generating ideals in polynomial rings (Q1095199)
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scientific article; zbMATH DE number 4027632
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generating ideals in polynomial rings |
scientific article; zbMATH DE number 4027632 |
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Generating ideals in polynomial rings (English)
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1987
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Let \(R=A[X]\) be a polynomial ring over a Noetherian commutative ring A, and let I be an ideal in R that contains a monic polynomial. Then I is generated by \(\mu (I/I^ 2)\) elements, where \(\mu\) denotes the minimal number of generators. The authors investigate the question of whether \(\mu (I)=\mu (I/I^ 2)\).
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polynomial ideal
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minimal number of generators
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