Images of locally finite derivations of polynomial algebras in two variables
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چکیده
In this paper we show that the image of any locally finite k-derivation of the polynomial algebra k[x, y] in two variables over a field k of characteristic zero is a Mathieu subspace. We also show that the two-dimensional Jacobian conjecture is equivalent to the statement that the image ImD of every k-derivation D of k[x, y] such that 1 ∈ ImD and divD = 0 is a Mathieu subspace of k[x, y].
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تاریخ انتشار 2016