wsq-primary hyperideals of a Krasner (m,n)-hyperring

TL;DR

This paper introduces various types of hyperideals in Krasner (m,n)-hyperrings, expanding the algebraic framework and providing new classifications within hyperring theory.

Contribution

It defines and explores new hyperideal concepts like q-primary, (k,n)-absorbing q-primary, sq-primary, and wsq-primary hyperideals in Krasner (m,n)-hyperrings.

Findings

Defined new hyperideal types in Krasner hyperrings

Established properties and relationships among these hyperideals

Extended the algebraic structure of hyperring theory

Abstract

In this paper we aim to introduce some hyperideals such as q-primary, (k,n)-absorbing q-primary, sq-primary, wsq-primary hyperideals.