(WEAKLY) (s, n)-CLOSED HYPERIDEALS IN COMMUTATIVE MULTIPLICATIVE HYPERRINGS

Document Type : Original Manuscript

Author

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

Abstract

‎A multiplicative hyperring is a well-known type of algebraic hyperstructures which extends a ring to a structure in which the addition is an operation but the multiplication is a hyperoperation‎. ‎Let $G$ be a commutative multiplicative hyperring and $s,n \in \mathbb{Z}^+$‎. ‎A proper hyperideal $Q$ of $G$ is called (weakly) $(s,n)$-closed if ($0 \notin a^s \subseteq Q$ ) $a^s \subseteq Q$ for $a \in G$ implies $a^n \subseteq Q$‎. ‎In this paper‎, ‎we aim to investigate (weakly) $(s,n)$-closed hyperideals and give some results explaining the structures of these notions‎.

Keywords

References

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Journal of Algebraic Systems
Volume 14, Issue 1
January 2026
Pages 75-92

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