Abstract
In this paper, we continue the description of solvable Leibniz algebras whose nilradical is a filiform algebra. In fact, solvable Leibniz algebras whose nilradical is a naturally graded filiform Leibniz algebra are known. Here, we extend the description to solvable Leibniz algebras whose nilradical is a filiform algebra. Moreover, we establish that solvable Leibniz algebras with filiform Lie nilradical are Lie algebras.
| Original language | English |
|---|---|
| Pages (from-to) | 283-303 |
| Number of pages | 21 |
| Journal | Bulletin of the Malaysian Mathematical Sciences Society |
| Volume | 39 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Jan 2016 |
| Externally published | Yes |
Keywords
- Filiform algebra
- Leibniz algebra
- Lie algebra
- Nilradical
- Outer derivation
- Solvability
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