A GENERALIZATION OF PRIME HYPERIDEALS
Publish place: Journal of Algebraic Systems، Vol: 8، Issue: 1
Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JAS-8-1_011
تاریخ نمایه سازی: 5 شهریور 1399
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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Authors
M. Anbarloei
Department of Mathematics, Faculty of Sciences, Imam Khomeini International University, Qazvin, Iran.