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Information Journal Paper

Title

,-Prime Ideals

Pages

  1-11

Abstract

 Let R be a commutative ring with identity. We give a new generalization to prime ideals called ,-Prime ideal. A proper ideal P of R is called an ,-Prime ideal if for all a,b in R with ab 2 P, then a 2 P or , (b) 2 P where ,2 End(R). We study some properties of ,-Prime ideals analogous to prime ideals. We give some characterizations for such generalization and we prove that the intersection of all ,-primes in a ring R is the set of all ,-nilpotent elements in R. Finally, we give new versions of some famous theorems about prime ideals including ,-integral domains and ,- , elds.

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    APA: Copy

    Akray, I., & Mohammed Salih, H. M.. (2022). ,-Prime Ideals. JOURNAL OF MATHEMATICAL EXTENSION, 16(1), 1-11. SID. https://sid.ir/paper/1065109/en

    Vancouver: Copy

    Akray I., Mohammed Salih H. M.. ,-Prime Ideals. JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2022;16(1):1-11. Available from: https://sid.ir/paper/1065109/en

    IEEE: Copy

    I. Akray, and H. M. Mohammed Salih, “ ,-Prime Ideals,” JOURNAL OF MATHEMATICAL EXTENSION, vol. 16, no. 1, pp. 1–11, 2022, [Online]. Available: https://sid.ir/paper/1065109/en

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