Unique factorization domain
id:
unique-factorization-domain-181-5014042
title:
Unique factorization domain
text:
In mathematics, a unique factorization domain (UFD) is a ring in which a statement analogous to the fundamental theorem of arithmetic holds. Specifically, a UFD is an integral domain in which every non-zero non-unit element can be written as a product of irreducible elements, uniquely up to order and units. Important examples of UFDs are the integers and polynomial rings in one or more variables with coefficients coming from the integers or from a field. Unique factorization domains appear in th
brand slug:
wiki
category slug:
encyclopedia
description:
Type of integral domain
original url:
https://en.wikipedia.org/wiki/Unique_factorization_domain
date created:
2002-07-05T11:00:31Z
date modified:
2024-09-05T17:23:06Z
main entity:
{"identifier":"Q1052579","url":"https://www.wikidata.org/entity/Q1052579"}
image:
fields total:
13
integrity:
15