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Near Prime Spectrum | ||
| Journal of Kufa for Mathematics and Computer | ||
| Article 1, Volume 1, Issue 8, 2013, Pages 58-70 | ||
| Authors | ||
| Hadi. J. Mustafa; Ameer Mohammad-Husain Hassan | ||
| Abstract | ||
| 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 . | ||
| Keywords | ||
| prime ideal; near prime ideal; Prime spectrum; near prime spectrum | ||
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