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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
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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 $m\geq 0$ .
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Key Findings & Data:We investigate the properties of the generating sets and subalgebras of the abelian product $A\ast _{ab}F_{n}$.
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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 $A\ast _{ab}F_{n}$.
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Cite This Article
ÖZKURT, Z., EKİCİ, N. (2022). Abelian product of free Abelian and free Lie algebras. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 2, 331–337. https://ajindex.com/articles/529852