- Mathematical Sciences and Applications E-Notes
- Volume:8 Issue:2
- Parafree Center-by-Metabelian Lie Algebras
Parafree Center-by-Metabelian Lie Algebras
Authors : Zehra VELİOĞLU
Pages : 10-14
Doi:10.36753/mathenot.747990
View : 30 | Download : 9
Publication Date : 2020-10-15
Article Type : Research Paper
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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