Open AccessNEAR-RING PRIMA DAN SEMIPRIMA YANG DILENGKAPI DENGAN DERIVATIF
Author(s) -
Ningrum Astriawati
Publication year - 2015
Publication title -
jurnal edukasi dan sains matematika
Language(s) - English
Resource type - Journals
eISSN - 2621-4202
pISSN - 2460-8904
DOI - 10.25134/jes-mat.v1i1.1158
Subject(s) - homomorphism , ring (chemistry) , mathematics , semiprime , primitive ring , order (exchange) , semiprime ring , endomorphism , principal ideal ring , pure mathematics , discrete mathematics , multiplication (music) , combinatorics , commutative ring , commutative property , prime (order theory) , chemistry , organic chemistry , finance , economics
Let be a semiprime near-ring with derivations of . Derivations are referred to group additive endomorphism with multiplication operating of (. )= ()+ () = 0 for each , ∈ . 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 AN such that 0 ∈ ,. ⊆ 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