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arXiv · 1701.03635

Nice derivations over principal ideal domains

Nikhilesh Dasgupta·Neena Gupta
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Abstract

In this paper we investigate to what extent the results of Z. Wang and D. Daigle on nice derivations of the polynomial ring in three variables over a field k of characteristic zero extend to the polynomial ring over a PID R, containing the field of rational numbers. One of our results shows that the kernel of a nice derivation on the polynomial ring in four variables over k of rank at most three is a polynomial ring over k.

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Nikhilesh Dasgupta, Neena Gupta. 2017-01-13. Nice derivations over principal ideal domains. https://arxiv.org/abs/1701.03635

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