On the structure of some Leibniz rings

In this paper, we study the fundamental properties of Leibniz rings. Special attention is given to the structure of Leibniz rings whose additive group is "small". The results obtained illustrate a significant difference between the classes of Leibniz rings and Lie rings.

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Bibliographic Details
Date:2025
Main Authors: Kurdachenko, Leonid A., Pypka, Oleksandr O., Semko, Mykola M.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2025
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2426
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics