J-prime hyperideals and their generalizations

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.

References in corpus (1)

• On 1-absorbing primary ideal of a commutative ring (Correction to Theorem 17 is added)