A study of homoderivations in 3-prime near-rings with centralizing constraints
In this paper, we explore the commutativity of 3-prime near-rings that admit homoderivations satisfying specific differential identities. Furthermore, we present an example demonstrating the essential role of the 3-primeness assumption in several theorems, emphasizing that this condition cannot be d...
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| Datum: | 2026 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Lugansk National Taras Shevchenko University
2026
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| Schlagworte: | |
| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2410 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| Zusammenfassung: | In this paper, we explore the commutativity of 3-prime near-rings that admit homoderivations satisfying specific differential identities. Furthermore, we present an example demonstrating the essential role of the 3-primeness assumption in several theorems, emphasizing that this condition cannot be disregarded. |
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