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.
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