Last Updated
：2025/11/25
integral domain
（ plural ）
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(algebra, ring theory) Any nonzero commutative ring in which the product of nonzero elements is nonzero.
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integral domain
An integral domain ensures that the product of any two nonzero elements is never zero, which simplifies many factorization proofs.
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An integral domain ensures that the product of any two nonzero elements is never zero, which simplifies many factorization proofs.
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