Action of derivations on polynomials and on Jacobian derivations
Let $\mathbb K$ be a field of characteristic zero, $A := \mathbb K[x_{1}, x_{2}]$ the polynomial ring and $W_2(\mathbb K)$ the Lie algebra of all $\mathbb K$-derivations on $A$. Every polynomial $f \in A$ defines a Jacobian derivation $D_f\in W_2(\mathbb K)$ by the rule $D_f(h)=\det J(f, h)$ for any...
| Published in: | Researches in Mathematics |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Oles Honchar Dnipro National University
2024-07-01
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| Subjects: | |
| Online Access: | https://vestnmath.dnu.dp.ua/index.php/rim/article/view/420/420 |