Document Type: Original Manuscript

Author

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

10.22044/jas.2019.8491.1412

Abstract

‎‎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 $I$‎.

Keywords