unique factorization ring

Fetched 2026-10-26 (cache).

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Noun

1. {{lb|en|algebra|ring theory}} A [[ring]] in which every non-zero, non-unit (i.e., proper) element can be factored into a product of prime elements (not necessarily distinct), such that such factorization is unique up to permutation of the factors and the replacing of primes by their associate primes.

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