TL;DR
This paper introduces the concept of n-ary S-hyperideals within Krasner (m,n)-hyperrings, expanding the algebraic framework of hyperstructure theory.
Contribution
It defines and explores the properties of n-ary S-hyperideals, a novel generalization in hyperring algebra.
Findings
Defined n-ary S-hyperideals in Krasner (m,n)-hyperrings
Established fundamental properties and characterizations
Extended the algebraic structure of hyperideals
Abstract
In this paper, we introduce and study the notion of -ary S-hyperideals in a Krasner -hyperring
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