(Weakly) (α,β)-prime hyperideals in commutative multiplicative hypeering

2024/06/03 by Mahdi Anbarloei, Anbarloei, Mahdi
Mathematics · #Commutative Algebra (math.AC) #FOS: Mathematics #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2406.01354

openalex publication_date 2024/06/03 · openalex created_date 2024/06/07 · openalex updated_date 2026/07/28

Abstract

Let H be a commutative multiplicative hyperring and α, β∈ ℤ⁺. A proper hyperideal P of H is called (weakly) (α,β)-prime if x^α∘ y ⊆ P for x,y ∈ H implies x^β⊆ P or y ∈ P. In this paper, we aim to investigate (weakly) (α,β)-prime hyperideals and then we present some properties of them.

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