On the structure of the algebra of derivation of some non-nilpotent Leibniz algebras

We investigate the algebras of derivations of certain non-nilpotent Leibniz algebras of low dimensions. Our focus is on the structural properties and classifications of these derivations, providing insights into their algebraic behaviors.

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Datum:2025
Hauptverfasser: Kurdachenko, Leonid A., Semko, Mykola M., Subbotin, Igor Ya.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Lugansk National Taras Shevchenko University 2025
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Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2385
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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author Kurdachenko, Leonid A.
Semko, Mykola M.
Subbotin, Igor Ya.
author_facet Kurdachenko, Leonid A.
Semko, Mykola M.
Subbotin, Igor Ya.
author_sort Kurdachenko, Leonid A.
baseUrl_str
collection OJS
datestamp_date 2025-04-13T15:32:01Z
description We investigate the algebras of derivations of certain non-nilpotent Leibniz algebras of low dimensions. Our focus is on the structural properties and classifications of these derivations, providing insights into their algebraic behaviors.
first_indexed 2025-12-02T15:26:17Z
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institution Algebra and Discrete Mathematics
language English
last_indexed 2025-12-02T15:26:17Z
publishDate 2025
publisher Lugansk National Taras Shevchenko University
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spelling admjournalluguniveduua-article-23852025-04-13T15:32:01Z On the structure of the algebra of derivation of some non-nilpotent Leibniz algebras Kurdachenko, Leonid A. Semko, Mykola M. Subbotin, Igor Ya. Leibniz algebra, Lie algebra, derivation, endomorphism 17A32, 17A60, 17A99 We investigate the algebras of derivations of certain non-nilpotent Leibniz algebras of low dimensions. Our focus is on the structural properties and classifications of these derivations, providing insights into their algebraic behaviors. Lugansk National Taras Shevchenko University 2025-04-13 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2385 10.12958/adm2385 Algebra and Discrete Mathematics; Vol 39, No 1 (2025) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2385/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2385/1292 Copyright (c) 2025 Algebra and Discrete Mathematics
spellingShingle Leibniz algebra
Lie algebra
derivation
endomorphism
17A32
17A60
17A99
Kurdachenko, Leonid A.
Semko, Mykola M.
Subbotin, Igor Ya.
On the structure of the algebra of derivation of some non-nilpotent Leibniz algebras
title On the structure of the algebra of derivation of some non-nilpotent Leibniz algebras
title_full On the structure of the algebra of derivation of some non-nilpotent Leibniz algebras
title_fullStr On the structure of the algebra of derivation of some non-nilpotent Leibniz algebras
title_full_unstemmed On the structure of the algebra of derivation of some non-nilpotent Leibniz algebras
title_short On the structure of the algebra of derivation of some non-nilpotent Leibniz algebras
title_sort on the structure of the algebra of derivation of some non-nilpotent leibniz algebras
topic Leibniz algebra
Lie algebra
derivation
endomorphism
17A32
17A60
17A99
topic_facet Leibniz algebra
Lie algebra
derivation
endomorphism
17A32
17A60
17A99
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2385
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AT semkomykolam onthestructureofthealgebraofderivationofsomenonnilpotentleibnizalgebras
AT subbotinigorya onthestructureofthealgebraofderivationofsomenonnilpotentleibnizalgebras