Simplicity of Some Derivations of k[x, y]
Simplicity of Some Derivations of k[x, y]
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DOI：
10.1080/00927872.2011.643521
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发表时间：
2013-04
影响因子：
0.7
通讯作者：
S. Kour;A. K. Maloo
中科院分区：
文献类型：
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作者：
S. Kour;A. K. Maloo
若k是特征为零的域，c ∈ k <$0，且1 ≤ s ≤ r是整数使得r-s + 1整除s或s整除r-s + 1，则证明多项式环k[x，y]的导子yr <$x +（xys + c）<$y是单的.
If k is a field of characteristic zero, c ∈ k∖0, and 1 ≤ s ≤ r are integers such that either r − s + 1 divides s or s divides r − s + 1, then it is shown that the derivation y r ∂ x + (xy s + c)∂ y of the polynomial ring k[x, y] is simple.