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
On the Cogeneration of Algebras
✍ Scribed by Jiří Adámek
- Publisher
- John Wiley and Sons
- Year
- 1979
- Tongue
- English
- Weight
- 617 KB
- Volume
- 88
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
On the Cogeneration of Algebras
By J~iif ADAMEK of Praha (Eingegangen am 3.1.1977) I am much indebted to V ~C L A V KOUBEK and TEO STURM for valuable discussions on this topic, and to V ~R A TRNKOV~, whose seminar inspires much of my work. Contents : A. Cogeneration of universal algebras B. Cogeneration of triple algebras C . Free triples and input processes D. Application to categorical automata
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