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- W2023608844 abstract "Let A=R[x1,…,xn] be the polynomial ring in n variables over an integral domain R with unit, let D be a rational higher R-derivation on A and let D¯ be the extension of D to the quotient field of A. We prove that, if the transcendental degree of the kernel of D over R is not less than n−1, then the quotient field of the kernel of D equals the kernel of D¯. Moreover, when n=2, we give a necessary and sufficient condition for an R-subalgebra of A to be expressed as the kernel of a rational higher R-derivation on A." @default.
- W2023608844 created "2016-06-24" @default.
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- W2023608844 date "2011-10-01" @default.
- W2023608844 modified "2023-10-16" @default.
- W2023608844 title "On the kernels of some higher derivations in polynomial rings" @default.
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- W2023608844 doi "https://doi.org/10.1016/j.jpaa.2011.02.010" @default.
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