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

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

2007-06-28

arxiv.org/abs/0706.4184v1

Mathematics

Algebraic Geometry

Accepted to Canad. Math. Bull

Scientific paper

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.

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