unique factorization ring (English, noun)
expansion: unique factorization ring (plural unique factorization rings)
Senses:
topics: algebra
mathematics
sciences
qualifier: ring theory
glosses: 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.
Forms:
form: unique factorization rings
tags: plural