A counterexample to Hilbert's fourteenth problem in dimension six
type: Item
instance of: scholarly article
title: A counterexample to Hilbert's fourteenth problem in dimension six
zbMATH Open document ID: 0993.13009
DOI: 10.1007/BF01237178
author: Gene Freudenburg
published in: Transformation Groups
publication date: 2001-07-25T00:00:00Z
review text: The author constructs a derivation of the polynomial algebra in six indeterminates over a field of characteristic zero, the kernel of which is a subalgebra which cannot be finitely generated. Already the author and D. Daigle have used this example to describe a derivation with the same property for a polynomial algebra in five indeterminates [\textit{D. Daigle} and \textit{G. Freudenburg}, J. Algebra 221, 528-535 (1999; Zbl 0963.13024)]. It is in this paper, however, that details of a rather intricate construction have been carefully organized for ready verification by the reader.
Mathematics Subject Classification ID: 13F20
Mathematics Subject Classification ID: 13N15
zbMATH DE Number: 1435996
zbMATH Keywords: Hilbert's fourteenth problem
zbMATH Keywords: derivation of polynomial algebra
reviewed by: H. F. Kreimer
MaRDI profile type: Publication
Wikidata QID: Q124962620
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description: scientific article; zbMATH DE number 1435996