Classes of $F$-hyperideals In A Krasner $F^{(m,n)}$-Hyperring

Document Type : Research Paper

Author

Department of Mathematics, Faculty of Sciences, Imam Khomeini International University, Qazvin, Iran

Abstract

‎Krasner $F^{(m,n)}$-hyperrings were introduced and  investigated by Farshi and Davvaz. In this paper, our purpose is to  define and characterize  three particular classes of $F$-hyperideals in a Krasner $F^{(m,n)}$-hyperring, namely prime $F$-hyperideals, maximal $F$-hyperideals and  primary $F$-hyperideals, which extend similar concepts of ring context. Furthermore, we  examine the relations between these structures. Then a number of major conclusions are given to explain the general framework of these structures.

Keywords

References

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History

  • Receive Date: 08 October 2022
  • Revise Date: 26 December 2022
  • Accept Date: 11 February 2023

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