Differential simplicity and the module of derivations
β 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
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
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