Last Updated
：2025/11/30
hyperring
Noun
Japanese Meaning
数学におけるハイパーリング：非空集合 R 上で、ハイパー加法がアーベルハイパー群として定義され、中性元が 0 であり、乗法が単位元 1 を持つモノイドとして定義され、さらに乗法が分配法則を満たし、0 との乗法は常に 0 を返すような代数的構造。
（ plural ）
Quizzes for review
(mathematics) A nonempty set R that supports hyperaddition as an abelian hypergroup with neutral element 0, multiplication as a monoid with identity element one, supports the distributive law, and for which multiplication by zero always yields the result 0.
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hyperring
The research paper introduced a new class of hyperring that unifies several examples of algebraic structures with multivalued addition.
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The research paper introduced a new class of hyperring that unifies several examples of algebraic structures with multivalued addition.
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