unique factorization domain

Noun

Meaning

unique factorization domain (plural unique factorization domains)

(algebra, ring theory) A unique factorization ring which is also an integral domain.

Source: en.wiktionary.org

Synonyms

UFD

Examples

Any Euclidean domain is a unique factorization domain (UFD), although the converse is not true. Source: Internet

A unique factorization domain is not necessarily a noetherian ring. Source: Internet

In a unique factorization domain (or more generally, a GCD domain ), an irreducible element is a prime element. Source: Internet

This paper not only introduced the Gaussian integers and proved they are a unique factorization domain, it also introduced the terms norm, unit, primary, and associate, which are now standard in algebraic number theory. Source: Internet

Close letter words and terms

unique effect unique element unique example unique factorization ring unique feature unique forces