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Derivations in Commutative Regular Algebras

โœ Scribed by A. F. Ber; F. A. Sukochev; V. I. Chilin

Book ID
111598171
Publisher
SP MAIK Nauka/Interperiodica
Year
2004
Tongue
English
Weight
83 KB
Volume
75
Category
Article
ISSN
0001-4346

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๐Ÿ“œ SIMILAR VOLUMES

On the Simplicity of Lie Algebras of Der
On the Simplicity of Lie Algebras of Derivations of Commutative Algebras
โœ David A. Jordan ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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