ON PERMUTING n-DERIVATIONS IN NEAR-RINGS
ON PERMUTING n-DERIVATIONS IN NEAR-RINGS
In this paper, we introduce the notion of permuting <TEX>$n$</TEX>-derivations in near-ring N and investigate commutativity of addition and multiplication of N. Further, under certain constrants on a <TEX>$n!$</TEX>-torsion free prime near-ring N, it is shown that a permuting <TEX>$n$</TEX>-additive mapping D on N is zero if the trace <TEX>$d$</TEX> …