Characterization of 3-prime near-rings via multiplicative derivations
In this paper, we will prove some theorems concerning the commutativity of 3-prime near-rings which satisfy some differential identities on semigroup ideals and Jordan ideals of a near-ring \(\mathcal{N}\) admitting a multiplicative derivation. After this, we discuss an example to prove that the nec...
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| Sprache: | English |
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Lugansk National Taras Shevchenko University
2025
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oai:ojs.admjournal.luguniv.edu.ua:article-22292025-08-13T10:04:13Z Characterization of 3-prime near-rings via multiplicative derivations El Amrani, Slimane Raji, Abderrahmane Oukessou, Mohamed Prime near-rings, multiplicative derivations, commutativity 16W10, 16W25, 16Y30 In this paper, we will prove some theorems concerning the commutativity of 3-prime near-rings which satisfy some differential identities on semigroup ideals and Jordan ideals of a near-ring \(\mathcal{N}\) admitting a multiplicative derivation. After this, we discuss an example to prove that the necessity of the 3-primeness hypothesis imposed on the various theorems cannot be marginalized. Lugansk National Taras Shevchenko University 2025-08-13 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2229 10.12958/adm2229 Algebra and Discrete Mathematics; Vol 39, No 2 (2025) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2229/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2229/1299 Copyright (c) 2025 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2025-08-13T10:04:13Z |
| collection |
OJS |
| language |
English |
| topic |
Prime near-rings multiplicative derivations commutativity 16W10 16W25 16Y30 |
| spellingShingle |
Prime near-rings multiplicative derivations commutativity 16W10 16W25 16Y30 El Amrani, Slimane Raji, Abderrahmane Oukessou, Mohamed Characterization of 3-prime near-rings via multiplicative derivations |
| topic_facet |
Prime near-rings multiplicative derivations commutativity 16W10 16W25 16Y30 |
| format |
Article |
| author |
El Amrani, Slimane Raji, Abderrahmane Oukessou, Mohamed |
| author_facet |
El Amrani, Slimane Raji, Abderrahmane Oukessou, Mohamed |
| author_sort |
El Amrani, Slimane |
| title |
Characterization of 3-prime near-rings via multiplicative derivations |
| title_short |
Characterization of 3-prime near-rings via multiplicative derivations |
| title_full |
Characterization of 3-prime near-rings via multiplicative derivations |
| title_fullStr |
Characterization of 3-prime near-rings via multiplicative derivations |
| title_full_unstemmed |
Characterization of 3-prime near-rings via multiplicative derivations |
| title_sort |
characterization of 3-prime near-rings via multiplicative derivations |
| description |
In this paper, we will prove some theorems concerning the commutativity of 3-prime near-rings which satisfy some differential identities on semigroup ideals and Jordan ideals of a near-ring \(\mathcal{N}\) admitting a multiplicative derivation. After this, we discuss an example to prove that the necessity of the 3-primeness hypothesis imposed on the various theorems cannot be marginalized. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2025 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2229 |
| work_keys_str_mv |
AT elamranislimane characterizationof3primenearringsviamultiplicativederivations AT rajiabderrahmane characterizationof3primenearringsviamultiplicativederivations AT oukessoumohamed characterizationof3primenearringsviamultiplicativederivations |
| first_indexed |
2025-09-17T09:26:09Z |
| last_indexed |
2025-09-17T09:26:09Z |
| _version_ |
1847008445712039936 |