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Dérivations et hautes dérivations dans certains corps gauches de séries de Laurent
- Source :
- Pacific Journal of Mathematics, Pacific Journal of Mathematics, 1992, 153 (2), pp.277-288, Pacific J. Math. 153, no. 2 (1992), 277-288
- Publication Year :
- 1992
- Publisher :
- HAL CCSD, 1992.
-
Abstract
- Let k be a field of characteristic zero, F=k((Y)) the local field of Laurent series in a variable Y, and ∂ Y the usual derivation of F. The purpose of this paper is the complete description of k-derivations on the formal pseudo-differential operator skewfield K=F(XX, ∂ Y )). An application of this result is given to study the structure of higher derivations in skewfields of characteristic zero
- Subjects :
- Pure mathematics
General Mathematics
Laurent series
Operator (physics)
010102 general mathematics
[MATH.MATH-RA]Mathematics [math]/Rings and Algebras [math.RA]
16K99
Structure (category theory)
Zero (complex analysis)
Field (mathematics)
0102 computer and information sciences
16. Peace & justice
01 natural sciences
Algebra
010201 computation theory & mathematics
16W25
[MATH.MATH-RA] Mathematics [math]/Rings and Algebras [math.RA]
16W60
0101 mathematics
Local field
ComputingMilieux_MISCELLANEOUS
Mathematics
Variable (mathematics)
Subjects
Details
- Language :
- French
- Database :
- OpenAIRE
- Journal :
- Pacific Journal of Mathematics, Pacific Journal of Mathematics, 1992, 153 (2), pp.277-288, Pacific J. Math. 153, no. 2 (1992), 277-288
- Accession number :
- edsair.doi.dedup.....1430a6140c32506b875e35995f47fcb5