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Universal homogeneous derivations of graded ϵ-commutative algebras

✍ Scribed by SÁnchez-Valenzuela, O.A.; Victoria-Monge, C.

Book ID
126745415
Publisher
Taylor and Francis Group
Year
2000
Tongue
English
Weight
860 KB
Volume
28
Category
Article
ISSN
0092-7872

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On the Simplicity of Lie Algebras of Der
On the Simplicity of Lie Algebras of Derivations of Commutative Algebras
✍ David A. Jordan 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 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