TL;DR
This paper explores the properties of 2-prime hyperideals in commutative multiplicative hyperrings and introduces delta-2-primary hyperideals as an extension, advancing the algebraic theory of hyperstructures.
Contribution
It provides new results on 2-prime hyperideals and introduces delta-2-primary hyperideals, expanding the understanding of hyperideal structures in hyperrings.
Findings
Characterization of 2-prime hyperideals
Introduction of delta-2-primary hyperideals
Relationships between different hyperideal classes
Abstract
Multiplicative hyperrings are an important class of algebraic hyperstructures which generalize rings further to allow multiple output values for the multiplication operation. Let R be a commutative multiplicative hyperring. The 2-prime hyperideals are a generalization of prime hyperideals. In this paper, we aim to study 2-prime hyperideals and give some results. Moreover, we investigate delta-2-primary hyperideals which are an expansion of 2-prime hyperideals.
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Taxonomy
TopicsAdvanced Algebra and Logic · Advanced Topics in Algebra