On the anticommutativity in Leibniz algebras

Leonid Andreevich Kurdachenko, Nikolaii Nikolaevich Semko, Igor Yakov Subbotin

Abstract


Lie algebras are exactly the anticommutative Leibniz algebras. In this article, we conduct a brief analysis of the approach to Leibniz algebras which based on the concept of the anti-center (Lie-center) and antinilpotency (Lie nilpotentency).


Keywords


Leibniz algebra, Lie algebra, center, Lie-center, anti- center, central series, anticentral series, Lie-central series

Full Text:

PDF

Refbacks

  • There are currently no refbacks.