Abstract
This chapter shows that the solution to the Finiteness Problem for non-linear algebraic Ga-actions is, in general, negative. In particular, we will explore the famous examples of Paul Roberts and some of the rich theory which has flowed from them. These were the first examples to (in effect) show that the kernel of a locally nilpotent derivation on a polynomial ring is not always finitely generated.
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© 2006 Springer
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Freudenburg, G. (2006). Non-Finitely Generated Kernels. In: Algebraic Theory of Locally Nilpotent Derivations. Encyclopaedia of Mathematical Sciences, vol 136. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-29523-5_8
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DOI: https://doi.org/10.1007/978-3-540-29523-5_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-29521-1
Online ISBN: 978-3-540-29523-5
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