A GENERALIZATION OF PRIME HYPERIDEALS
نویسندگان
1 Department of Mathematics, Faculty of Sciences, Imam Khomeini International University, Qazvin, Iran.
doi
10.22044/jas.2019.8491.1412چکیده
Let $R$ be a multiplicative hyperring. In this paper, we introduce and study the concept of n-absorbing hyperideal which is a generalizationof 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 $I$.