<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

Soluble Product of Parafree Lie Algebras and Its Residual Properties

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Soluble Product of Parafree Lie Algebras and Its Residual Properties"}

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...

Soluble Product of Parafree Lie Algebras and Its Residual Properties

Published Online: Oct 25, 2019

Page range: 509 - 514

Received: Mar 25, 2019

Accepted: May 07, 2019

DOI: https://doi.org/10.2478/amns.2019.2.00036

Keywords
Parafree Lie Algebras, Soluble product, Residual properties

© 2020 Zehra Velioğlu, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Soluble Product of Parafree Lie Algebras and Its Residual Properties

Published Online: Oct 25, 2019

Page range: 509 - 514

Received: Mar 25, 2019

Accepted: May 07, 2019

DOI: https://doi.org/10.2478/amns.2019.2.00036

KeywordsParafree Lie Algebras, Soluble product, Residual properties

© 2020 Zehra Velioğlu, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Parafree Lie Algebras, Soluble product, Residual properties