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We found 2 dictionaries that define the word unique factorization ring:

General (1 matching dictionary)
  1. unique factorization ring: Wiktionary

Computing (1 matching dictionary)
  1. unique-factorization ring: Encyclopedia

Definitions from Wiktionary (unique factorization ring)

noun:  (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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