unique factorization rings

A form of unique factorization ring — 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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Meanings

noun
  1. pluralplural of unique factorization ring
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APA

unique factorization rings. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/unique%20factorization%20rings

MLA

“unique factorization rings.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/unique%20factorization%20rings. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “unique factorization rings,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/unique%20factorization%20rings.

Source: unique factorization rings on Wiktionary, CC BY-SA 4.0.