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Derivations on commutative regular algebras

✍ Scribed by A. F. Ber

Book ID
111500079
Publisher
Allerton Press, Inc.
Year
2011
Tongue
English
Weight
517 KB
Volume
21
Category
Article
ISSN
1055-1344

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πŸ“œ SIMILAR VOLUMES

Derivations in Commutative Regular Algeb
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✍ A. F. Ber; F. A. Sukochev; V. I. Chilin πŸ“‚ Article πŸ“… 2004 πŸ› SP MAIK Nauka/Interperiodica 🌐 English βš– 83 KB
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