Some commutativity criteria for 3-prime near-rings

• Date: 2022
• Main Author: Raji, A.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2022
• Subjects: 3-prime near-rings; 3-semiprime near-rings; involution; \(*\)-derivation; semiderivation; commutativity; 16N60; 16W25; 16Y30
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1439
• Journal Title: Algebra and Discrete Mathematics

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...