Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
There is an increasing body of evidence that prime near-rings with derivations have ring like behavior, indeed, there are several results (see for example , , , ,  and ) asserting that the existence of a suitably-constrained derivation on a prime near-ring forces the near-ring to be a ring. It is our purpose to explore further this ring like behaviour. In this paper we generalize some of the results due to Bell and Mason  on near-rings admitting a special type of derivation namely $(\sigma,\tau)$- derivation where $\sigma,\tau$ are automorphisms of the near-ring. Finally, it is shown that under appropriate additional hypothesis a near-ring must be a commutative ring.
AMSclassification. 16W25, 16Y30.
Keywords. prime near-ring, derivation, $\sigma$-derivation, $(\sigma, \tau)$-derivation, $(\sigma, \tau)$-commuting derivation.