On 2-Absorbing Primary Hyperideals Of Multiplicative Hyperrings

TL;DR

This paper explores the properties of 2-absorbing primary hyperideals in multiplicative hyperrings, extending the understanding of hyperideal structures and their classifications in algebraic hyperstructure theory.

Contribution

It introduces and investigates 2-absorbing primary hyperideals in multiplicative hyperrings, a novel class within hyperideal theory.

Findings

Characterization of 2-absorbing primary hyperideals

Description of Cu-ideals in multiplicative hyperrings

Properties of hyperideals with absorbing zero

Abstract

Primary hyperideals have been introduced and studied in multiplicative hyperrings. In this paper, we intend to study extensively primary hyperideals of multiplicative hyperrings with absorbing zero and prove some results regarding them. Also, we describe Cu- ideals of multiplicative hyperrings which are particular classes of hyperideals. In the last section, we introduce 2-absorbing primary hyperideals and investigate the properties of this notion in commutative multiplicative hyperrings.