Ideally finite Leibniz algebras

The aim of this paper is to consider Leibniz algebras, whose principal ideals are finite dimensional. We prove that the derived ideal of \(L\) has finite dimension if every principal ideal of a Leibniz algebra \(L\) has dimension at most \(b\), where \(b\) is a fixed positive integer.

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Datum:2023
Hauptverfasser: Kurdachenko, L. A., Subbotin, I. Ya.
Format: Artikel
Sprache:English
Veröffentlicht: Lugansk National Taras Shevchenko University 2023
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Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2139
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Назва журналу:Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics