NEAR-RING PRIMA DAN SEMIPRIMA YANG DILENGKAPI DENGAN DERIVATIF

Abstract

Let 𝑁 be a semiprime near-ring with 𝑑 derivations of 𝑁. Derivations are referred to group additive endomorphism with multiplication operating of 𝑑(𝑥. 𝑦)= 𝑥𝑑(𝑦)+ 𝑑(𝑥)𝑦 = 0  for each 𝑥, 𝑦 ∈ 𝑁. This paper gives sufficient conditions on a subset near-ring order derivation of each of its members is equal to 0. Let N be a semiprime near-ring and AÍN such that 0 ∈ 𝐴,𝐴. 𝑁 ⊆ 𝐴 and d derivation of N. The purpose of this paper is to prove that if d acts as a homomorphism on A or as an anti-homomorphism on then d(A) = 0