Antisymmetric relation
id:
antisymmetric-relation-308-6353277
title:
Antisymmetric relation
text:
In mathematics, a binary relation R on a set X is antisymmetric if there is no pair of distinct elements of X each of which is related by R to the other. More formally, R is antisymmetric precisely if for all a , b ∈ X , or equivalently, The definition of antisymmetry says nothing about whether a R a actually holds or not for any a . An antisymmetric relation R on a set X may be reflexive, irreflexive, or neither reflexive nor irreflexive. A relation is asymmetric if and only if it is both antis
brand slug:
wiki
category slug:
encyclopedia
description:
Binary relation such that if A is related to B and is different from it then B is not related to A
original url:
https://en.wikipedia.org/wiki/Antisymmetric_relation
date created:
date modified:
2024-01-24T16:30:20Z
main entity:
{"identifier":"Q583760","url":"https://www.wikidata.org/entity/Q583760"}
image:
fields total:
13
integrity:
14