✨
AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Moreover these properties are used to solve the membership problem for $A\ast _{ab}F_{n}$.
📌 3 Key Takeaways
🎯
Objective & Hypothesis:Let $F_{n}$ be a free Lie Algebra of finite rank $n$ and $A$ be a free abelian Lie algebra of finite rank $m\geq 0$ .
📊
Key Findings & Data:We investigate the properties of the generating sets and subalgebras of the abelian product $A\ast _{ab}F_{n}$.
💡
Conclusion & Impact:Moreover these properties are used to solve the membership problem for $A\ast _{ab}F_{n}$.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Generating set · Abelian product · Free Lie Algebra
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 $A\ast _{ab}F_{n}$.
🔖
Cite This Article
Özkurt, Z., Ekici, N. (2018). Abelian product of free Abelian and free Lie algebras. Hacettepe Journal of Mathematics and Statistics, Volume: 47 Issue: 2. https://ajindex.com/articles/1402952