unique factorization ring

English

Noun

unique factorization ring (plural unique factorization rings)

(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.

Hyponyms

unique factorization domain

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