Some commutativity criteria for 3-prime near-rings

• Datum: 2022
• 1. Verfasser: Raji, A.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Lugansk National Taras Shevchenko University 2022
• Schlagworte: 3-prime near-rings; 3-semiprime near-rings; involution; \(*\)-derivation; semiderivation; commutativity; 16N60; 16W25; 16Y30
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1439
• Назва журналу: 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...