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A note on triangular derivations of

Authors:	Daniel Daigle Gene Freudenburg

Institution:	Department of Mathematics and Statistics, University of Ottawa, Ottawa, Canada K1N 6N5 ; Department of Mathematics, University of Southern Indiana, Evansville, Indiana 47712

Abstract:	For a field $\mathbf{k}$ of characteristic zero, and for each integer $n\geq 4$ , we construct a triangular derivation of $\mathbf{k} X_1,X_2,X_3,X_4]$ whose ring of constants, though finitely generated over $\mathbf{k}$ , cannot be generated by fewer than elements.

Keywords:	Derivations Hilbert fourteenth problem additive group actions invariants

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