Generators of rings of constants for some diagonal derivations in polynomial rings
type: Item
instance of: scholarly article
title: Generators of rings of constants for some diagonal derivations in polynomial rings
zbMATH Open document ID: 0832.12002
DOI: 10.1016/0022-4049(94)00011-7
author: Andrzej Nowicki
author: Jean-Marie Strelcyn
published in: Journal of Pure and Applied Algebra
publication date: 1996-03-07T00:00:00Z
review text: Let \(K\) be a field of characteristic zero. The authors show that if \(n\geq 3\), that given \(r\geq 0\) there exists a diagonal \(K\)-derivation of \(K[x_1, \dots, x_n]\) such that the minimal number of generators over \(K\) of the ring of constants is equal to \(r\).
Mathematics Subject Classification ID: 12E99
Mathematics Subject Classification ID: 13F25
Mathematics Subject Classification ID: 13N10
zbMATH DE Number: 802560
zbMATH Keywords: polynomial ring
zbMATH Keywords: diagonal derivation
zbMATH Keywords: field of characteristic zero
zbMATH Keywords: generators
zbMATH Keywords: ring of constants
reviewed by: John N. Mordeson
MaRDI profile type: Publication
full work available at URL: 0022-4049(94)00011-7
OpenAlex ID: W2056467213
cites work: The kernel of a derivation
cites work: A Note on Finite Dimensional Subrings of Polynomial Rings
cites work: Q5334356
cites work: Rings and fields of constants for derivations in characteristic zero
cites work: Rings of constants for \(k\)-derivations in \(k[x_ 1,\dots ,x_ n]\)
cites work: Dedekind subrings of \(k[x_1,\dots,x_n]\) are rings of polynomials
cites work: Q5829490
description: scientific article; zbMATH DE number 802560