Laurent Cancellation for Rings of Transcendence Degree One Over a Field

DOI10.1007/978-3-319-05681-4_18zbMath1327.13037arXiv1309.4737OpenAlexW87459033MaRDI QIDQ2948951

Gene Freudenburg

Publication date: 7 October 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.4737

Mathematics Subject Classification ID

Group rings (16S34) Commutative ring extensions and related topics (13B99) Cluster algebras (13F60)

Related Items (2)

On the cancellation problem for algebraic tori ⋮ Affine-ruled varieties without the Laurent cancellation property

Cites Work

• The structure of a Laurent polynomial fibration in \(n\) variables
• Stably rational non rational varieties
• Polynomial fibre rings of algebras over noetherian rings
• On affine-ruled rational surfaces
• On Zariski problem
• Affine surfaces containing cylinderlike open sets
• On the rigidity of small domains
• On the cancellation problem for the affine space \(\mathbb{A}^{3}\) in characteristic \(p\)
• On the uniqueness of the coefficient ring in a polynomial ring
• A Theorem on Valuation Rings and its Applications
• Nonuniqueness of Coefficient Rings in a Polynomial Ring
• Algebraic theory of locally nilpotent derivations

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