On some relationships between the factors of the canonical central series of Leibniz algebras

TitleOn some relationships between the factors of the canonical central series of Leibniz algebras
Publication TypeJournal Article
Year of Publication2016
AuthorsKurdachenko, LA, Otal, J, Pypka, AA
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
Date Published3/2016
We have proved that the finiteness of the codimension of some member $\zeta_{k}(L)$ of the upper central series of the Leibniz algebra $L$ yields the finiteness of the dimension of $\gamma_{k+1}(L)$ and give the bounds of this finiteness.
KeywordsLeibniz algebra, Lie algebra, lower central series, upper central series
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