unique factorization ring
unique factorization ring noun: 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.
Noun
unique factorization ring (plural unique factorization rings)
- 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 of unique factorization ring
| plural | unique factorization rings |
|---|
Questions about unique factorization ring
- What does unique factorization ring mean?
- Unique factorization ring means 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.
- What part of speech is unique factorization ring?
- Unique factorization ring is a noun.
- What is the plural of unique factorization ring?
- The plural of unique factorization ring is unique factorization rings.
Words near unique factorization ring in the dictionary
Source and license
Adapted from Wiktionary: unique factorization ring (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
Last updated:
Cite this entry: “unique factorization ring.” Word.ws, https://word.ws/unique_factorization_ring. Based on Wiktionary, CC BY-SA 4.0.