Nice derivations over principal ideal domains

DOI10.1016/j.jpaa.2018.02.025zbMath1471.13055arXiv1701.03635OpenAlexW2571934792WikidataQ60395294 ScholiaQ60395294MaRDI QIDQ1651506

Neena Gupta, Nikhilesh Dasgupta

Publication date: 12 July 2018

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.03635

Mathematics Subject Classification ID

Actions of groups on commutative rings; invariant theory (13A50) Derivations and commutative rings (13N15) Group actions on affine varieties (14R20)

Cites Work

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• On the \(R\)-invariance of \(R[X\)]
• Locally polynomial algebras are symmetric algebras
• Locally nilpotent derivations over a UFD and an application to rank two locally nilpotent derivations of \(k[X_1,\dots,X_n\)]
• Homogeneization of locally nilpotent derivations and an application to \(k[X,Y,Z\)]
• Triangular derivations of \(\mathbf k[X,Y,Z\)]
• On the uniqueness of the coefficient ring in a polynomial ring
• On finite generation of kernels of locally nilpotent \(R\)-derivations of \(R[X,Y,Z\)]
• Some $K$-theoretic properties of the kernel of a locally nilpotent derivation on $k[X_1, \dots , X_4$]
• LOCALLY POLYNOMIAL RINGS AND SYMMETRIC ALGEBRAS
• Kernel of locally nilpotent 𝑅-derivations of 𝑅[𝑋,𝑌]
• A note on triangular derivations of $\mathbf {k}[X_1,X_2,X_3,X_4$]
• Algebraic theory of locally nilpotent derivations

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