Document Type : Original Manuscript


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


‎‎Let $R$ be a multiplicative hyperring‎. In this paper‎, ‎we introduce and study the concept of n-absorbing hyperideal which is a generalization‎
‎of prime hyperideal‎. ‎A proper hyperideal $I$ of $R$ is called an $n$-absorbing hyperideal of ‎$‎R‎$‎ if whenever $\alpha_1o...o\alpha_{n+1} \subseteq I$ for $\alpha_1,...,\alpha_{n+1} \in R$‎, ‎then there are $n$ of the $\alpha_i^,$s whose product is in $I$‎.


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