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2-Prime Hyperideals of Multiplicative Hyperrings

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  • Mahdi Anbarloei
  • Xiaogang Liu

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. A proper hyperideal I of R is called 2-prime if x∘y⊆I for some x,y∈R, then, x2⊆I or y2⊆I. 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 δ-2-primary hyperideals which are an expansion of 2-prime hyperideals.

Suggested Citation

  • Mahdi Anbarloei & Xiaogang Liu, 2022. "2-Prime Hyperideals of Multiplicative Hyperrings," Journal of Mathematics, Hindawi, vol. 2022, pages 1-9, March.
    • Handle: RePEc:hin:jjmath:5721946
    DOI: 10.1155/2022/5721946
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