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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| Видавець: | Lugansk National Taras Shevchenko University |
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| Дата: | 2024 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2024
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2207 |
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Організація
Algebra and Discrete Mathematics| Резюме: | 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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