Archimedean group
id:
archimedean-group-302-1932529
title:
Archimedean group
text:
In abstract algebra, a branch of mathematics, an Archimedean group is a linearly ordered group for which the Archimedean property holds: every two positive group elements are bounded by integer multiples of each other. The set R of real numbers together with the operation of addition and the usual ordering relation between pairs of numbers is an Archimedean group. By a result of Otto Hölder, every Archimedean group is isomorphic to a subgroup of this group. The name "Archimedean" comes from Otto
brand slug:
wiki
category slug:
encyclopedia
description:
Type of classification in algebra
original url:
https://en.wikipedia.org/wiki/Archimedean_group
date created:
date modified:
2024-02-27T05:43:07Z
main entity:
{"identifier":"Q4786884","url":"https://www.wikidata.org/entity/Q4786884"}
image:
fields total:
13
integrity:
14