On weakly S-primary hyyperideals
Mahdi Anbarloei
TL;DR
This paper introduces and investigates the concept of weakly n-ary S-primary hyperideals within commutative Krasner (m,n)-hyperrings, expanding the theoretical framework of hyperring ideal theory.
Contribution
It defines and explores the properties of weakly n-ary S-primary hyperideals, a novel class in hyperring theory, providing foundational insights.
Findings
Established basic properties of weakly n-ary S-primary hyperideals.
Characterized the behavior of these hyperideals in Krasner (m,n)-hyperrings.
Connected the new concept with existing hyperideal theories.
Abstract
In this paper, our purpose is to introduce and study the notion of weakly n-ary S-primary hyperideals in a commutative Krasner (m,n)-hyperring.
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Taxonomy
TopicsAdvanced Algebra and Logic · Advanced Combinatorial Mathematics · semigroups and automata theory