Ring of sets
id:
ring-of-sets-292-11923
title:
Ring of sets
text:
In mathematics, there are two different notions of a ring of sets, both referring to certain families of sets. In order theory, a nonempty family of sets R is called a ring if it is closed under union and intersection. That is, the following two statements are true for all sets A and B , A , B ∈ R implies A ∪ B ∈ R and A , B ∈ R implies A ∩ B ∈ R . In measure theory, a nonempty family of sets R is called a ring if it is closed under union and relative complement. That is, the following two state
brand slug:
wiki
category slug:
encyclopedia
description:
Family closed under unions and relative complements
original url:
https://en.wikipedia.org/wiki/Ring_of_sets
date created:
date modified:
2024-04-22T05:09:36Z
main entity:
{"identifier":"Q2064647","url":"https://www.wikidata.org/entity/Q2064647"}
image:
fields total:
13
integrity:
14