On some reciprocal relations between the factors of the upper and lower central series in Lie algebras
DOI:
https://doi.org/10.15407/dopovidi2015.05.021Keywords:
Baer's theorem, lower central series, nilpotent residual, upper central series, upper hypercenter, Z-decompositionAbstract
A generalization of the group-theoretic Baer's theorem regarding relations between the factors of the upper and lower central series for Lie algebras is obtained.
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