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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
Subjects:	Leibniz ring Lie ring Leibniz algebra additive group of Leibniz ring 17A32 17A60 17A99
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

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