Abelian product of free Abelian and free Lie algebras

Year 2018, Volume: 47 Issue: 2, 331 - 337, 01.04.2018

Zeynep Özkurt , Naime Ekici

Abstract

Let $F_{n}$ be a free Lie Algebra of finite rank $n$ and $A$ be a free abelian Lie algebra of finite rank $m\geq 0$ . We investigate the properties of the generating sets and subalgebras of the abelian product $A\ast _{ab}F_{n}$. Moreover these properties are used to solve the membership problem for $A\ast _{ab}F_{n}$.

Keywords

Generating set, Abelian product, Free Lie Algebra

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