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Triangular Derivations of k[X1, X2, X3, X4]

✍ Scribed by Daniel Daigle; Gene Freudenburg

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
115 KB
Volume
241
Category
Article
ISSN
0021-8693

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✦ Synopsis

It is shown that if k is a field of characteristic zero, then the kernel of any w x triangular k-derivation of k X , X , X , X is finitely generated as a k-algebra.

This is obtained as a corollary of a more general result concerning triangular w x R-derivations of R X, Y, Z for certain rings R.

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