J-prime hyperideals and their generalizations

TL;DR

This paper introduces J-prime hyperideals in multiplicative hyperrings, generalizing n-hyperideals, and explores their properties and extensions such as quasi J-prime and 2-absorbing J-prime hyperideals.

Contribution

It defines and analyzes J-prime hyperideals and their generalizations, providing new characterizations and extending the concept within hyperring theory.

Findings

Properties of J-prime hyperideals established

Characterizations of quasi J-prime hyperideals provided

Extensions to 2-absorbing J-prime hyperideals analyzed

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.