Triangular monomial derivations on \(k[X_1,X_2,X_3,X_4]\) have kernel generated by at most four elements
type: Item
instance of: scholarly article
title: Triangular monomial derivations on \(k[X_1,X_2,X_3,X_4]\) have kernel generated by at most four elements
zbMATH Open document ID: 0978.13014
DOI: 10.1016/S0022-4049(99)00084-5
author: Stefan Maubach
published in: Journal of Pure and Applied Algebra
publication date: 2001-07-19T00:00:00Z
Mathematics Subject Classification ID: 13N15
Mathematics Subject Classification ID: 13F20
zbMATH DE Number: 1538664
zbMATH Keywords: Hilbert's 14th problem
zbMATH Keywords: polynomial ring
zbMATH Keywords: triangular derivation
MaRDI profile type: Publication
cites work: Locally nilpotent derivations over a UFD and an application to rank two locally nilpotent derivations of \(k[X_1,\dots,X_n]\)
cites work: The kernel of a derivation
cites work: Ga actions on c3 and c7
cites work: An algorithm to compute the invariant ring of a \(G_ a\)-action on an affine variety
cites work: A counterexample to Hilbert's fourteenth problem in dimension six
cites work: An algorithm to compute the kernel of a derivation up to a certain degree
cites work: Q5334356
cites work: Rings of constants for \(k\)-derivations in \(k[x_ 1,\dots ,x_ n]\)
cites work: Polynomial derivations and their rings of constants
cites work: An infinitely generated symbolic blow-up in a power series ring and a new counterexample to Hilbert's fourteenth problem
cites work: Q5829490
cites work: A counterexample to Hilbert's fourteenth problem in dimension 5
description: scientific article; zbMATH DE number 1538664