Schreier domain
id:
schreier-domain-301-4389943
title:
Schreier domain
text:
In abstract algebra, a Schreier domain, named after Otto Schreier, is an integrally closed domain where every nonzero element is primal; i.e., whenever x divides yz, x can be written as x = x1 x2 so that x1 divides y and x2 divides z. An integral domain is said to be pre-Schreier if every nonzero element is primal. A GCD domain is an example of a Schreier domain. The term "Schreier domain" was introduced by P. M. Cohn in 1960s. The term "pre-Schreier domain" is due to Muhammad Zafrullah. In gene
brand slug:
wiki
category slug:
encyclopedia
description:
Mathematical structure where elements are primal
original url:
https://en.wikipedia.org/wiki/Schreier_domain
date created:
date modified:
2023-01-10T15:38:11Z
main entity:
{"identifier":"Q7432871","url":"https://www.wikidata.org/entity/Q7432871"}
image:
fields total:
13
integrity:
14