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RESEARCH PRODUCT

A note on strongly Lie nilpotency

Paola Misso

subject

Discrete mathematicsPure mathematicsMathematics::Commutative AlgebraGeneral MathematicsSimple Lie groupMathematics::Rings and AlgebrasAdjoint representationCentral seriesMathematics::Group TheoryNilpotentIdeal (ring theory)Algebra over a fieldNilpotent groupMathematics::Representation TheoryMathematics

description

In this note the authors studies strongly Lie nilpotent rings and proves that if a ringR is strongly Lie nilpotent thenR(2), the ideal generated by all commutators, is nilpotent.

https://doi.org/10.1007/bf02846362