Some commutativity criteria for 3-prime near-rings
In the present paper, we introduce the notion of \(*\)-generalized derivation in near-ring \(N\) and investigate some properties involving that of \(*\)-generalized derivation of a~\(*\)-prime near-ring \(N\) which forces \(N\) to be a~commutative ring. Some properties of generalized semiderivations...
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| Дата: | 2022 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2022
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1439 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| Резюме: | In the present paper, we introduce the notion of \(*\)-generalized derivation in near-ring \(N\) and investigate some properties involving that of \(*\)-generalized derivation of a~\(*\)-prime near-ring \(N\) which forces \(N\) to be a~commutative ring. Some properties of generalized semiderivations have also been given in the context of 3-prime near-rings. Consequently, some well known results have been generalized. Furthermore, we will give examples to demonstrate that the restrictions imposed on the hypothesis of various results are not superfluous. |
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