Some results on retracts of polynomial rings

DOI10.1016/j.jalgebra.2020.08.030zbMath1468.13060arXiv1910.11023OpenAlexW3087190325MaRDI QIDQ2214128

Neena Gupta, Nikhilesh Dasgupta, Sagnik Chakraborty, Amartya K. Dutta

Publication date: 4 December 2020

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

Full work available at URL: https://arxiv.org/abs/1910.11023

zbMATH Keywords

exponential mappolynomial ringlocally nilpotent derivationretract\(\mathbb{G}_a\)-action\(\mathbb{A}^2\)-fibration

Mathematics Subject Classification ID

Actions of groups on commutative rings; invariant theory (13A50) Derivations and commutative rings (13N15) Polynomials over commutative rings (13B25) Affine fibrations (14R25)

Related Items

Retracts that are kernels of locally nilpotent derivations ⋮ A criterion to determine residual coordinates of \(\mathbb{A}^{2}\)-fibrations

Cites Work

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• On Zariski's cancellation problem in positive characteristic
• On codimension-one \(\mathbb A^1\)-fibration with retraction
• Some patching results on algebras over two-dimensional factorial domains
• Polynomial ring in two variables over a D.V.R.: A criterion
• Polynomial fibre rings of algebras over noetherian rings
• On affine-ruled rational surfaces
• On Zariski problem
• Affine surfaces containing cylinderlike open sets
• Seminormality, projective algebras, and invertible algebras
• Retracts of polynomial rings
• Locally polynomial algebras are symmetric algebras
• On finding and cancelling variables in k[X,Y,Z]
• A note on retracts of polynomial rings in three variables
• Some results on codimension-one \(\mathbb A^{1}\)-fibrations
• A class of retracts of polynomial algebras
• On the cancellation problem for the affine space \(\mathbb{A}^{3}\) in characteristic \(p\)
• The hypersurface 𝑥+𝑥²𝑦+𝑧²+𝑡³=0 over a field of arbitrary characteristic
• LOCALLY POLYNOMIAL RINGS AND SYMMETRIC ALGEBRAS
• Kernel of locally nilpotent 𝑅-derivations of 𝑅[𝑋,𝑌]
• A Note on Finite Dimensional Subrings of Polynomial Rings