Ordered semigroup
id:
ordered-semigroup-304-8095659
title:
Ordered semigroup
text:
In mathematics, an ordered semigroup is a semigroup (S,•) together with a partial order ≤ that is compatible with the semigroup operation, meaning that x ≤ y implies z•x ≤ z•y and x•z ≤ y•z for all x, y, z in S. An ordered monoid and an ordered group are, respectively, a monoid or a group that are endowed with a partial order that makes them ordered semigroups. The terms posemigroup, pogroup and pomonoid are sometimes used, where "po" is an abbreviation for "partially ordered". The positive inte
brand slug:
wiki
category slug:
encyclopedia
description:
Algebraic structure
original url:
https://en.wikipedia.org/wiki/Ordered_semigroup
date created:
date modified:
2020-09-13T10:05:57Z
main entity:
{"identifier":"Q7100714","url":"https://www.wikidata.org/entity/Q7100714"}
image:
fields total:
13
integrity:
14