Weakly $S$-prime hyperideals

Articles in Press

Document Type : Research Paper

Author

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

Abstract

‎‎The purpose of this paper is presenting a new expansion class, namely weakly ‎$‎n‎$‎-ary ‎$‎S‎$‎-prime hyperideals in Krasner ‎$‎(m,n)‎$‎-hyperrings. In summary, we give an extension of ‎‎$‎n$-ary $‎S‎$‎-prime hyperideals. Some results and examples are given to explain the structure of this new concept. Moreover, a version of Nakayama‎$‎^,‎$‎s Lemma is considered on commutative Krasner ‎$‎(m,n)‎$‎-hyperrings.
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References

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Journal of Mahani Mathematical Research

Articles in Press, Accepted Manuscript
Available Online from 29 January 2025

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  • Receive Date: 22 August 2024
  • Revise Date: 12 November 2024
  • Accept Date: 29 January 2025

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