Constructing (almost) rigid rings and a UFD having infinitely generated Derksen and Makar-Limanov invariant

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An example is given of a UFD which has infinitely generated Derksen invariant. The ring is \textquotedblleft almost rigid\textquotedblright\ meaning that the Derksen invariant is equal to the Makar-Limanov invariant. Techniques to show that a ring is (almost) rigid are discussed, among which is a generalization of Mason's abc-theorem.
Accepted to Canad. Math. Bull

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Algebraic Geometry, Commutative Algebra, 14R20, 13A50, 13N15.

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http://salesiana.dossiersoluciones.com/handle/123456789/132605

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.4184
 http://arxiv.org/abs/0706.4184

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arXiv