J-hyperideals and related generalizations ‎in ‎ ‎multiplicative ‎hyperrings

Document Type : Research Paper

Authors

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

Abstract

‎In this paper‎, ‎we define the concept of $J$-hyperideals which is a generalization of $n$-hyperideals‎. ‎A proper hyperideal $I$ of a multiplicative hyperring $R$ is said to be a $J$-hyperideal if $x,y\in R$ such that $x \circ y \subseteq I$‎, ‎then either $x \in J(R)$ or $y \in I$‎. ‎We study and investigate the behavior of the $J$-hyperideals to introduce several results‎. ‎Moreover‎, ‎we extend the notion of $J$-hyperideals to quasi $J$-hyperideals and 2-absorbing $J$-hyperideals‎.
‎Various characterizations of them are provided‎.

Keywords

Main Subjects

References

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Journal of Mahani Mathematical Research

Articles in Press, Accepted Manuscript
Available Online from 18 May 2024

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History

  • Receive Date: 16 December 2023
  • Revise Date: 19 March 2024
  • Accept Date: 17 May 2024

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