Dergiler / Mathematical Sciences and Applications E-Notes / 2020 / Cilt: 8 - Sayı: 2

Parafree Center-by-Metabelian Lie Algebras

Parafree Center-by-Metabelian Lie Algebras

Zehra Velioğlu

Sayfa
10–14
DOI
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Abstract

Let L be a Lie algebra. Denote the second term of the derived series of L by L 00 . 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 00 . Moreover we show that the algebra L/L00 is parafree metabelian Lie algebra.