On the structure of low-dimensional Leibniz algebras: some revision
Let \(L\) be an algebra over a field \(F\) with the binary operations \(+\) and \([\,\cdot\,{,}\,\cdot\,]\). Then \(L\) is called a left Leibniz algebra if \([[a,b],c]=[a,[b,c]]-[b,[a,c]]\) for all \(a,b,c\in L\). We describe the inner structure of left Leibniz algebras having dimension 3.
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| Date: | 2023 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2023
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2036 |
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| Journal Title: | Algebra and Discrete Mathematics |