Last Updated :2025/11/22

division ring

Noun
Japanese Meaning
除環:0と1が異なり、任意の非零元aに対して、乗法逆元(ax = xa = 1となる要素)が存在する環。
What is this buttons?

研究者は、有限で0 ≠ 1かつ零でない任意の元が乗法逆元を持つ環が実際には体(すなわち可換である)であることを証明した。

plural

Quizzes for review

(algebra) A ring with 0 ≠ 1, such that every non-zero element a has a multiplicative inverse, meaning an element x with ax = xa = 1.

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division ring

The researcher proved that every finite division ring is actually a field, meaning it is commutative.

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The researcher proved that every finite division ring is actually a field, meaning it is commutative.

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