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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| Дата: | 2026 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2026
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2410 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543427461644288 |
|---|---|
| author | El Amrani, Slimane Raji, Abderrahmane |
| author_facet | El Amrani, Slimane Raji, Abderrahmane |
| author_sort | El Amrani, Slimane |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2026-01-11T10:11:21Z |
| description | 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. |
| first_indexed | 2026-02-08T07:59:27Z |
| format | Article |
| id | admjournalluguniveduua-article-2410 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:59:27Z |
| publishDate | 2026 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-24102026-01-11T10:11:21Z A study of homoderivations in 3-prime near-rings with centralizing constraints El Amrani, Slimane Raji, Abderrahmane prime near-rings, homoderivations, commutativity 16W10, 16W25, 16Y30 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. Lugansk National Taras Shevchenko University 2026-01-11 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2410 10.12958/adm2410 Algebra and Discrete Mathematics; Vol 40, No 2 (2025) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2410/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2410/1350 Copyright (c) 2026 Algebra and Discrete Mathematics |
| spellingShingle | prime near-rings homoderivations commutativity 16W10 16W25 16Y30 El Amrani, Slimane Raji, Abderrahmane A study of homoderivations in 3-prime near-rings with centralizing constraints |
| title | A study of homoderivations in 3-prime near-rings with centralizing constraints |
| title_full | A study of homoderivations in 3-prime near-rings with centralizing constraints |
| title_fullStr | A study of homoderivations in 3-prime near-rings with centralizing constraints |
| title_full_unstemmed | A study of homoderivations in 3-prime near-rings with centralizing constraints |
| title_short | A study of homoderivations in 3-prime near-rings with centralizing constraints |
| title_sort | study of homoderivations in 3-prime near-rings with centralizing constraints |
| topic | prime near-rings homoderivations commutativity 16W10 16W25 16Y30 |
| topic_facet | prime near-rings homoderivations commutativity 16W10 16W25 16Y30 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2410 |
| work_keys_str_mv | AT elamranislimane astudyofhomoderivationsin3primenearringswithcentralizingconstraints AT rajiabderrahmane astudyofhomoderivationsin3primenearringswithcentralizingconstraints AT elamranislimane studyofhomoderivationsin3primenearringswithcentralizingconstraints AT rajiabderrahmane studyofhomoderivationsin3primenearringswithcentralizingconstraints |