Some results on codimension-one \(\mathbb A^{1}\)-fibrations

DOI10.1016/j.jalgebra.2006.06.040zbMath1126.14072OpenAlexW2042831100MaRDI QIDQ2370287

Amartya K. Dutta, Nobuharu Onoda

Publication date: 25 June 2007

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.06.040

zbMATH Keywords

symmetric algebracodimension onefaithfully flat\(\mathbb A^1\)-fibrations

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Affine fibrations (14R25)

Related Items (11)

On faithfully flat fibrations by a punctured line ⋮ On codimension-one \(\mathbb A^1\)-fibration with retraction ⋮ The Zariski cancellation problem and related problems in affine algebraic geometry ⋮ The structure of a Laurent polynomial fibration in \(n\) variables ⋮ Some results on retracts of polynomial rings ⋮ The cancellation problem over Noetherian one-dimensional domains ⋮ \(\mathbb A^1\)-fibrations on affine threefolds ⋮ On finite generation of \(R\)-subalgebras of \(R[X\)] ⋮ On locally quasi \(\mathbb A^*\) algebras in codimension-one over a Noetherian normal domain ⋮ Some patching results on algebras over two-dimensional factorial domains ⋮ On algebras which are locally 𝔸¹ in codimension-one

Cites Work

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• Krull dimension, transcendence degree and subalgebras of finitely generated algebras
• On finding and cancelling variables in k[X,Y,Z]
• On \(\mathbb{A}^ 1\)-bundles of affine morphisms

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