Near prime spectrum

Abstract EN

Let be a commutative ring with identity .

It is well known that a topology was defined for ( ) * + called the Zariski topology (prime spectrum) .

In this paper we will generalize this idea for near prime ideal .

If be a commutative near-ring with identity , be a near prime ideal of and define ( ) * + .

Then ( ) 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.