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

Let $H$ be a commutative multiplicative hyperring and $α, β\in \mathbb{Z}^+$. A proper hyperideal $P$ of $H$ is called (weakly) $(α,β)$-prime if $x^α\circ y \subseteq P$ for $x,y \in H$ implies $x^β\subseteq P$ or $y \in P$. In this paper, we aim to investigate (weakly) $(α,β)$-prime hyperideals and then we present some properties of them.
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Prime (m,n) Bi-Γ -Hyperideals in Γ -Semihypergroups

Applied Mathematics & Information Sciences, 2014
Naveed Yaqoob, Muhammad Aslam
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Prime and semiprime l-fuzzy soft bi-hyperideals

2017
Shabir, Muhammad   +2 more
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