Kernels of Higher Derivations in R[x, y]
Kernels of Higher Derivations in R[x, y]
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DOI：
10.1080/00927871003660200
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发表时间：
2011-05
影响因子：
0.7
通讯作者：
Hideo Kojima;Norihiro Wada
中科院分区：
文献类型：
--
作者：
Hideo Kojima;Norihiro Wada
设R是HCF-环，R[x，y]是R上的二元多项式环.本文证明了R[x，y]上任意非平凡高阶R-导子的核都有形式R[h]，其中h ∈ R[x，y].
Let R be an HCF-ring and R[x, y] the polynomial ring in two variables over R. In this article, we prove that the kernel of any nontrivial higher R-derivation on R[x, y] has the form R[h] for some h ∈ R[x, y].