Develops theory of p-Lie algebras of finite Morley rank with weight space decomposition relative to a torus and soluble case characterization.
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Soluble ranked Lie rings contain self-normalizing nilpotent subrings called Cartan subrings.
Vanishing theorems for H^1 of definable nilpotent groups and Lie rings in finite-dimensional theories when the invariants submodule is trivial.
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On p-Lie algebras of finite Morley rank
Develops theory of p-Lie algebras of finite Morley rank with weight space decomposition relative to a torus and soluble case characterization.