The constants of the Volterra derivation (Q424138)
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scientific article; zbMATH DE number 6039997
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The constants of the Volterra derivation |
scientific article; zbMATH DE number 6039997 |
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The constants of the Volterra derivation (English)
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31 May 2012
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Consider an \(n\)-variable polynomial ring \(K[x_1,\ldots ,x_n]\) over a field of characteristic \(0\). Its Volterra derivation \(\delta\) is defined by \(\delta (x_i)=(x_{i-1}-x_{i+1})x_i\). The author shows that the ring of constants of \(\delta\) is freely generated by \([(n+2)/2]\) polynomials which he defines explicitly.
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Volterra derivation
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polynomial constant
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