Semidistributive nearrings with identity

It is proved that the additive group of every semidistributive nearring \(R\) with an identity is abelian and if \(R\) has no elements of order 2, then the nearring \(R\) actually is an associative ring.

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Bibliographic Details
Date:2024
Main Authors: Raievska, I., Raievska, M., Sysak, Ya.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2024
Subjects:
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2207
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Journal Title:Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics