Finite generation of Lie derived powers of associative algebras
classification
🧮 math.RA
keywords
algebrasassociativederivedfinitegeneratedpowersalgebracharacteristic
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Let $A$ be an associative algebra over a field of characteristic $\neq 2$ that is generated by a finite collection of nilpotent elements. We prove that all Lie derived powers of $A$ are finitely generated Lie algebras.
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