Open AccessHUBUNGAN DERIVASI PRIME NEAR-RING DENGAN SIFAT KOMUTATIF RING
Author(s) -
Pradita Z. Triwulandari,
Kartika Sari,
Luh Putu Ida Harini
Publication year - 2017
Publication title -
e-jurnal matematika
Language(s) - English
Resource type - Journals
ISSN - 2303-1751
DOI - 10.24843/mtk.2017.v06.i02.p155
Subject(s) - prime (order theory) , mathematics , ring (chemistry) , associated prime , semigroup , principal ideal ring , pure mathematics , ideal (ethics) , commutative ring , noncommutative ring , category of rings , discrete mathematics , commutative property , combinatorics , law , chemistry , political science , organic chemistry
Near-rings are generalize from rings. A research on near-ring is continous included a research on prime near-rings and one of this research is about derivation on prime near-rings. This article will reviewing about relation between derivation on prime near-rings and commutativity in rings with literature review method. The result is prime near-rings are commutative rings if a nonzero derivation d on N hold one of this following conditions: (i) , (ii) , (iii) , (iv) , (v) , (vi) , for all , with is non zero semigroup ideal from .