Parafree Center-by-Metabelian Lie Algebras

Year 2020, Volume: 8 Issue: 2, 10 - 14, 15.10.2020

Zehra Velioğlu

https://doi.org/10.36753/mathenot.747990

Abstract

Let L be a Lie algebra. Denote the second term of the derived series of L by L'' . We define the parafree
centre-by-metabelian Lie algebras. We prove that if L is a parafree centre-by-metabelian, then the center
of L is L'' . Moreover we show that the algebra L/L'' is parafree metabelian Lie algebra. ..................................................................................................................................................................................................................................

Keywords

Free Lie Algebra, Parafree Lie Algebra, Center by metabelian

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