Dérivations, et hautes dérivations, dans certains corps gauches de séries de Laurent. (Derivations, and higher derivations, in certain skew fields of Laurent series) (Q757560)
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scientific article; zbMATH DE number 4191929
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dérivations, et hautes dérivations, dans certains corps gauches de séries de Laurent. (Derivations, and higher derivations, in certain skew fields of Laurent series) |
scientific article; zbMATH DE number 4191929 |
Statements
Dérivations, et hautes dérivations, dans certains corps gauches de séries de Laurent. (Derivations, and higher derivations, in certain skew fields of Laurent series) (English)
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1992
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Let k be a field of characteristic zero, \(F=k((Y))\) the local field of Laurent series in a variable Y, and \(\partial_ Y\) the usual derivation on F. The purpose of this paper is the complete description of k- derivations on the formal pseudo-differential operator skewfield \(K=F((X,\partial_ Y))\). An application of this result is given to study the structure of higher derivations in skewfields of characteristic zero.
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local field of Laurent series
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derivation
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k-derivations
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formal pseudo- differential operator skewfield
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higher derivations
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