Some commutativity criteria for 3-prime near-rings
Copyright policy )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 in volving 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 beengeneralized. Furthermore, we will give examples to demonstratethat the restrictions imposed on the hypothesis of various resultsare not superŕuous.
- Université Sultan Moulay Slimane Morocco
Prime and semiprime associative rings, Near-rings, 3-prime near-rings, involution, commutativity, Derivations, actions of Lie algebras, \(\ast\)-derivation, semiderivation, 3-semiprime near-rings
Prime and semiprime associative rings, Near-rings, 3-prime near-rings, involution, commutativity, Derivations, actions of Lie algebras, \(\ast\)-derivation, semiderivation, 3-semiprime near-rings
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