Near Prime Spectrum

Authors

  • Hadi J Mustafa
  • Ameer Mohammad-Husain Hassan

DOI:

https://doi.org/10.31642/JoKMC/2018/010808

Keywords:

prime ideal , near prime ideal , prime spectrum , 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 .

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References

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Published

2013-12-30

How to Cite

Mustafa, H. J., & Hassan, A. M.-H. (2013). Near Prime Spectrum. Journal of Kufa for Mathematics and Computer, 1(8), 58–70. https://doi.org/10.31642/JoKMC/2018/010808

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