unique factorization ring

English

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.

单词	unique factorization ring
释义	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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