Open AccessSoluble Product of Parafree Lie Algebras and Its Residual Properties
Author(s) -
Zehra Velioğlu
Publication year - 2019
Publication title -
applied mathematics and nonlinear sciences
Language(s) - English
Resource type - Journals
ISSN - 2444-8656
DOI - 10.2478/amns.2019.2.00036
Subject(s) - adjoint representation of a lie algebra , lie algebra , lie conformal algebra , mathematics , pure mathematics , killing form , product (mathematics) , residual , non associative algebra , algebra over a field , geometry , algorithm
The parafree Lie algebras are an extraordinary class of Lie algebras which shares many properties with a free Lie algebra. In this work, we turn our attention to soluble product of parafree Lie algebras. We show that soluble product of parafree Lie algebras is parafree. Furthermore, we investigate some residual properties of that product.