2-Prime Hyperideals

Abstract

Multiplicative hyperrings are an important class of algebraic hyperstructures which generalize rings further to allow multiple output values for the multiplication operation. Let R be a commutative multiplicative hyperring. The 2-prime hyperideals are a generalization of prime hyperideals. In this paper, we aim to study 2-prime hyperideals and give some results. Moreover, we investigate delta-2-primary hyperideals which are an expansion of 2-prime hyperideals.

arXiv commentarXiv admin note: substantial text overlap with arXiv:2109.08414; text overlap with arXiv:2109.08385