J-prime hyperideals and their generalizations

2021/10/13 by Anbarloei, M.
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2110.07073

Abstract

Let R be a multiplicative hyperring with identity. In this paper, we define the concept of J-prime hyperideals which is a generalization of n-hyperideals and we will show some properties of them. Then we extend the notion of J-prime to quasi J-prime and 2-absorbing J-prime hyperideals. Various characterizations of them are provided.

Related

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• (u,v)-absorbing (prime) hyperideals in commutative multiplicative hyperrings
• n-absorbing I-prime hyperideals in multiplicative hyperrings
• Some hyperideals defined on the basis of the intersection of all n-ary prime hyperideals
• 2-Prime Hyperideals