Abelian Product of Free Abelian and Free Lie Algebras
| Autor: | Naime Ekici, Zeynep Özkurt |
|---|---|
| Přispěvatelé: | Çukurova Üniversitesi |
| Rok vydání: | 2017 |
| Předmět: |
Matematik
Torsion subgroup Mathematics::General Mathematics Mathematics::Operator Algebras Elementary abelian group General Medicine Rank of an abelian group Free abelian group Combinatorics Generating set Abelian product Free Lie Algebra Lie algebra İstatistik ve Olasılık Abelian category Abelian group Mathematics Free Lie algebra |
| Zdroj: | Volume: 47, Issue: 2 331-337 Hacettepe Journal of Mathematics and Statistics |
| ISSN: | 1303-5010 2651-477X |
| DOI: | 10.15672/hjms.2017.455 |
| Popis: | 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 $A\ast _{ab}F_{n}$. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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