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On the influence of ideals and self-idealizing subalgebras on the structure of Leibniz algebras
The subalgebra A of a Leibniz algebra L is self-idealizing in L, if A = IL (A). In this paper we study the structure of Leibniz algebras, whose subalgebras are either ideals or self-idealizing. More precisely, we obtain a description of such Leibniz algebras for the cases where the locally nilpote...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Видавничий дім "Академперіодика" НАН України
2021
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| Series: | Доповіді НАН України |
| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/182508 |
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| Summary: | The subalgebra A of a Leibniz algebra L is self-idealizing in L, if A = IL (A). In this paper we study the structure
of Leibniz algebras, whose subalgebras are either ideals or self-idealizing. More precisely, we obtain a description
of such Leibniz algebras for the cases where the locally nilpotent radical is Abelian non-cyclic, non-Abelian noncyclic,
and cyclic of dimension 2. |
|---|