A GENERALIZATION OF PRIME HYPERIDEALS

author

  • M. Anbarloei Department of Mathematics, Faculty of Sciences, Imam Khomeini International University, Qazvin, Iran.
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 $alpha_1o...oalpha_{n+1} subseteq I$ 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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Journal title

volume 8  issue 1

pages  113- 127

publication date 2020-09-01

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