A note on "A generalization of Roberts' counterexample to the fourteenth problem of Hilbert by S. Kuroda"

Mikiya Tanaka

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arXiv · 1006.4694

A note on "A generalization of Roberts' counterexample to the fourteenth problem of Hilbert by S. Kuroda"

Mikiya Tanaka

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Abstract

In [4], Kuroda generalized Roberts' counterexample \cite{Roberts} to the fourteenth problem of Hilbert. The counterexample is given as the kernel of a locally nilpotent derivation on a polynomial ring. We replace his construction of the invariant elements by a more straightforward construction and give a more precise form of invariant elements.

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Mikiya Tanaka. 2010-06-24. A note on "A generalization of Roberts' counterexample to the fourteenth problem of Hilbert by S. Kuroda". https://arxiv.org/abs/1006.4694

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