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Commutativity of Left Near-Rings | ||
| Basic Education College Magazine For Educational and Humanities Sciences | ||
| Article 1, Volume 0, Issue 0, 2018, Pages 401-409 | ||
| Authors | ||
| Dalal Ibraheem Resan; Mehsin Jabel Atteya | ||
| Abstract | ||
| Several authors have proved theorems for prime and semiprime near-rings admitting a derivations acts as a homomorphism (an anti-homomorphism) or Daif 2-derivations. In an early paper, Bell and Kappe proved that if d is a derivation of a semiprime ring R which is either an endomorphism or anti-endomorphism, then d = 0. They also showed that if d is a derivation of a prime ring R which acts as a homomorphism or an anti-homomorphism on U, where U is a non-zero right ideal, then d = 0 on R. Wang proved the following ,let n be a positive integer, N an n!-torsion free prime near-ring and d a derivation such that dn (N) = {0}.Then d (Z)={0}.Deng and Ashraf | ||
| Keywords | ||
| Commutativity of Left Near; Rings | ||
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