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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| Date: | 2022 |
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| Language: | English |
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Lugansk National Taras Shevchenko University
2022
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1439 |
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| Journal Title: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-14392022-08-10T11:01:37Z Some commutativity criteria for 3-prime near-rings Raji, A. 3-prime near-rings, 3-semiprime near-rings, involution, \(*\)-derivation, semiderivation, commutativity 16N60, 16W25, 16Y30 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. Lugansk National Taras Shevchenko University 2022-03-28 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1439 10.12958/adm1439 Algebra and Discrete Mathematics; Vol 32, No 2 (2021) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1439/pdf Copyright (c) 2022 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2022-08-10T11:01:37Z |
| collection |
OJS |
| language |
English |
| topic |
3-prime near-rings 3-semiprime near-rings involution \(*\)-derivation semiderivation commutativity 16N60 16W25 16Y30 |
| spellingShingle |
3-prime near-rings 3-semiprime near-rings involution \(*\)-derivation semiderivation commutativity 16N60 16W25 16Y30 Raji, A. Some commutativity criteria for 3-prime near-rings |
| topic_facet |
3-prime near-rings 3-semiprime near-rings involution \(*\)-derivation semiderivation commutativity 16N60 16W25 16Y30 |
| format |
Article |
| author |
Raji, A. |
| author_facet |
Raji, A. |
| author_sort |
Raji, A. |
| title |
Some commutativity criteria for 3-prime near-rings |
| title_short |
Some commutativity criteria for 3-prime near-rings |
| title_full |
Some commutativity criteria for 3-prime near-rings |
| title_fullStr |
Some commutativity criteria for 3-prime near-rings |
| title_full_unstemmed |
Some commutativity criteria for 3-prime near-rings |
| title_sort |
some commutativity criteria for 3-prime near-rings |
| description |
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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2022 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1439 |
| work_keys_str_mv |
AT rajia somecommutativitycriteriafor3primenearrings |
| first_indexed |
2025-07-17T10:30:04Z |
| last_indexed |
2025-07-17T10:30:04Z |
| _version_ |
1837889818033389568 |