Near Prime Spectrum

Abstract

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 .

Keywords

• prime ideal
• near prime ideal
• prime spectrum
• near prime spectrum .