Last Updated:2025/11/28

In ring theory, the structure of a unique factorization ring ensures that every nonzero, nonunit element can be expressed as a product of prime elements uniquely up to order and associates.

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In ring theory, the structure of a unique factorization ring ensures that every nonzero, nonunit element can be expressed as a product of prime elements uniquely up to order and associates.

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環論において、一意分解整域の構造は、任意の非ゼロかつ非単元の元が素元の積として順序および同伴元を除いて一意に表されることを保証する。

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