On the role played by anticommutativity in Leibniz algebras
DOI:
https://doi.org/10.15407/dopovidi2019.01.003Keywords:
anticenter, anticentral series, center, central series, Leibniz algebra, Lie algebra, Lie-center, Lie-central seriesAbstract
Lie algebras are exactly the anticommutative Leibniz algebras. We conduct a brief analysis of the approach to Leibniz algebras which is based on the concept of anticenter (Lie-center) and antinilpotency (Lie nilpotentency).
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