TY - JOUR
ID -
TI - Near Prime Spectrum
AU - . Hadi. J. Mustafa
AU - Ameer Mohammad-Husain Hassan
PY - 2013
VL - 1
IS - 8
SP - 58
EP - 70
JO - Journal of Kufa for Mathematics and Computer مجلة الكوفة للرياضيات والحاسوب
SN - 11712076
AB -
Let R be a commutative ring with identity . It is well known that a topology was defined for Spec(R)={I:IisaprimeidealofR} called the Zariski topology (prime spectrum) . In this paper we will generalize this idea for near prime ideal . If N be a commutative near-ring with identity ,P_N be a near prime ideal of N and define Spec(N)={P_N:P_N isanearprimeideal } . Then Spec(N) can be endowed with a topology similar to the Zariski topology which is called near Zariski topology (near prime spectrum) .we studies and discuss some of properties of such topology .
ER -