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Sets of Commuting Derivations and Simplicity

✍ Scribed by Retert, K.

Book ID
115452107
Publisher
Taylor and Francis Group
Year
2006
Tongue
English
Weight
225 KB
Volume
34
Category
Article
ISSN
0092-7872

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πŸ“œ SIMILAR VOLUMES

On the Simplicity of Lie Algebras of Der
On the Simplicity of Lie Algebras of Derivations of Commutative Algebras
✍ David A. Jordan πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 72 KB

Let R be a commutative algebra over a field k. We prove two related results on the simplicity of Lie algebras acting as derivations of R. If D is both a Lie subalgebra and R-submodule of Der k R such that R is D-simple and either char k = 2 or D is not cyclic as an R-module or D R = R, then we show