A note on rigidity and triangulability of a derivation

DOI10.1216/JCA-2014-6-1-95zbMath1327.14211arXiv1212.6501MaRDI QIDQ2453703

Manoj Kumar Keshari, Swapnil A. Lokhande

Publication date: 10 June 2014

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

Full work available at URL: https://arxiv.org/abs/1212.6501

zbMATH Keywords

locally nilpotent derivationsrigid derivationstriangulable derivations

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Polynomials over commutative rings (13B25)

Related Items (1)

Rank and rigidity of locally nilpotent derivations of affine fibrations

Cites Work

• A necessary and sufficient condition for triangulability of derivations of \(\mathbf k [X,Y,Z\)]
• A counterexample to Hilbert's fourteenth problem in dimension 5
• On the uniqueness of the coefficient ring in a polynomial ring
• On finite generation of kernels of locally nilpotent \(R\)-derivations of \(R[X,Y,Z\)]
• On residual variables and stably polynomial algebras
• Algebraic theory of locally nilpotent derivations

This page was built for publication: A note on rigidity and triangulability of a derivation