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On the Derivations of Filiform Leibniz Algebras

โœ Scribed by B. A. Omirov


Publisher
SP MAIK Nauka/Interperiodica
Year
2005
Tongue
English
Weight
141 KB
Volume
77
Category
Article
ISSN
0001-4346

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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