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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Bibliographic Details
Date:2023
Main Authors: Kurdachenko, L. A., Subbotin, I. Ya.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2023
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2139
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics