On the methods to construct UFD counterexamples to a cancellation problem

dc.creatorMaubach, Stefan
dc.date2007-06-28
dc.date.accessioned2026-07-07T08:12:54Z
dc.date.available2026-07-07T08:12:54Z
dc.descriptionIn a previous paper, the author together with prof. dr. Finston constructed a class of UFDs A_{n,m} where n,m\in \N^*. These rings are all stably equivalent (A_{n,m}[T]\cong A_{p,q}[T] for all n,m,p,q) but are only isomorphic themselves if (n,m)=(p,q). These examples are the first UFD examples over a characteristically closed field satisfying this behavior. In this paper, we describe the methods used in this article, and show that they are very general, enabling the reader to construct many more such examples, based on the same principles.
dc.description8 pages, proceedings of the Hanoi conference on polynomial automorphisms (Acta Math. Viet.)
dc.identifierhttps://arxiv.org/abs/0706.4226
dc.identifierhttp://arxiv.org/abs/0706.4226
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132618
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.titleOn the methods to construct UFD counterexamples to a cancellation problem
dc.typetext

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