Generators of rings of constants for some diagonal derivations in polynomial rings (Q1899157)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Generators of rings of constants for some diagonal derivations in polynomial rings |
scientific article; zbMATH DE number 802560
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generators of rings of constants for some diagonal derivations in polynomial rings |
scientific article; zbMATH DE number 802560 |
Statements
Generators of rings of constants for some diagonal derivations in polynomial rings (English)
0 references
7 March 1996
0 references
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 \(r\).
0 references
polynomial ring
0 references
diagonal derivation
0 references
field of characteristic zero
0 references
generators
0 references
ring of constants
0 references
