
In this paper, we introduce and characterize the breakable semihypergroups, a natural generalization of breakable semigroups, defined by a simple property: every nonempty subset of them is a subsemihypergroup. Then, we present and discuss on an extended version of Rédei’s theorem for semi-symmetric breakable semihypergroups, proposing a different proof that improves also the theorem in the classical case of breakable semigroups.
hyperideal, semi-symmetry, breakable semigroup, Semigroups, semihypergroup, Hypergroups, symmetry
hyperideal, semi-symmetry, breakable semigroup, Semigroups, semihypergroup, Hypergroups, symmetry
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