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Differential simplicity and the module of derivations

✍ Scribed by Alok Kumar Maloo


Book ID
104152815
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
309 KB
Volume
115
Category
Article
ISSN
0022-4049

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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

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Commutative differentially simple rings have proved to be quite useful as a source of examples in noncommutative algebra. In this paper we use the theory of holomorphic foliations to construct new families of derivations with respect to which the polynomial ring over a field of characteristic zero i