On some reciprocal relations between the factors of the upper and lower central series in Lie algebras

1Kurdachenko, LA
1Pypka, AA
2Subbotin, IYa.
1Oles Honchar Dnipropetrovsk National University
2National University, Los Angeles, USA
Dopov. Nac. akad. nauk Ukr. 2015, 5:21-25
https://doi.org/10.15407/dopovidi2015.05.021
Section: Mathematics
Language: Ukrainian
Abstract: 

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.

Keywords: Baer's theorem, lower central series, nilpotent residual, upper central series, upper hypercenter, Z-decomposition
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