• STRONG COMMUTATIVITY – PRESERVING DERIVATIONS ON NEAR-RINGS
Abstract
Bell and Mason [1] studies derivations in Near-rings and Near-fields. In this paper we present some properties of Strong Commutativity- Preserving derivations in left near-rings. We prove that if N is left near-ring with U as a right ideal which contains no zero devisors of N and d is a nonzero commuting scp – derivation on U, then N is commutative.
Keywords
Prime near-ring, derivation, ideal, strong commutativity-preserving derivation.
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