Low-dimensional nilpotent Leibniz algebras and their automorphism groups
Let \(L\) be an algebra over a field \(F\) with the binary operations \(+\) and \([,]\). Then \(L\) is called a Leibniz algebra if it satisfies the Leibniz identity: \([a,[b,c]]=[[a,b],c]+[b,[a,c]]\) for all \(a,b,c\in L\). A linear transformation \(f\) of \(L\) is called an endomorphism of \(L\), i...
Saved in:
| Date: | 2024 |
|---|---|
| Main Authors: | Minaiev, Pavlo Ye., Pypka, Oleksandr O., Semko, Larysa P. |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2024
|
| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2264 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete MathematicsSimilar Items
-
On the structure of low-dimensional Leibniz algebras: some revision
by: Kurdachenko, L. A., et al.
Published: (2023) -
On the algebra of derivations of some low-dimensional Leibniz algebras
by: Kurdachenko, L. A., et al.
Published: (2023) -
On the algebra of derivations of some low-dimensional Leibniz algebras
by: Kurdachenko, L. A., et al.
Published: (2023) -
On the structure of the algebras of derivations of some non-nilpotent Leibniz algebras
by: Kurdachenko, Leonid A., et al.
Published: (2024) -
On the structure of the algebras of derivations of some non-nilpotent Leibniz algebras
by: Kurdachenko, Leonid A., et al.
Published: (2024)