$(u,v)$-absorbing primary hyperideals in multiplicative hyperrings

TL;DR

This paper introduces and studies the concept of $(u,v)$-absorbing primary hyperideals within the framework of commutative multiplicative hyperrings, expanding the algebraic theory of hyperstructures.

Contribution

It defines $(u,v)$-absorbing primary hyperideals and explores their properties, providing new insights into hyperring ideal theory.

Findings

Characterization of $(u,v)$-absorbing primary hyperideals

Relations between hyperideals and hyperring structures

Potential applications in hyperstructure algebra

Abstract

The present paper addresses the notion of $(u,v)$-absorbing primary hyperideals in commutative multiplicative hyperrings.