Involutive bases in the Weyl algebra. (Q1864886)
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scientific article; zbMATH DE number 1886751
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Involutive bases in the Weyl algebra. |
scientific article; zbMATH DE number 1886751 |
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Involutive bases in the Weyl algebra. (English)
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23 March 2003
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Using any multiplicative order on monomials the authors show that any left ideal in a Weyl algebra has a strong Janet bases. It could be interesting to compare this with the theorem by \textit{J. T. Stafford} [J. Lond. Math. Soc., II. Ser. 18, 429-442 (1978; Zbl 0394.16001)], showing that in characteristic zero any left ideal in a Weyl algebra is two-generated.
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Gröbner bases
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Weyl algebras
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involutive bases
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left ideals
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multiplicative monomial orders
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