TL;DR
This paper introduces the concept of weakly S-prime hyperideals within commutative Krasner (m,n)-hyperrings, expanding the theoretical framework of hyperideal structures.
Contribution
It defines and explores weakly S-prime hyperideals in the context of commutative Krasner (m,n)-hyperrings, a novel extension in hyperring theory.
Findings
Introduced the concept of weakly S-prime hyperideals.
Established properties and characterizations of these hyperideals.
Extended the theory of hyperideals in hyperring algebra.
Abstract
In this paper, we aim to introduce weakly -ary -prime hyperideals in a commutative Krasner -hyperring.
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Taxonomy
TopicsAdvanced Topics in Algebra · Rings, Modules, and Algebras · Polynomial and algebraic computation