Constructing (almost) rigid rings and a UFD having infinitely generated Derksen and Makar-Limanov invariant
Abstract
An example is given of a UFD which has infinitely generated Derksen invariant. The ring is almost rigid\ 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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