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Constructing (Almost) Rigid Rings and a UFD Having Infinitely Generated Derksen and Makar-Limanov Invariants

Published online by Cambridge University Press:  20 November 2018

David Finston  and
Stefan Maubach
David Finston
Affiliation:
Department of Mathematics, New Mexico State University, Las Cruces, NM, USA e-mail: [email protected]
Stefan Maubach
Affiliation:
Department of Mathematics, Radboud University Nijmegen, Nijmegen, The Netherlands e-mail: [email protected]
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Abstract

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An example is given of a UFD which has an 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.

Keywords

14R2013A5013N15
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 53 , Issue 1 , 01 March 2010 , pp. 77 - 86
Copyright
Copyright © Canadian Mathematical Society 2010

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