Solid set
id:
solid-set-300-14067777
title:
Solid set
text:
In mathematics, specifically in order theory and functional analysis, a subset S of a vector lattice is said to be solid and is called an ideal if for all s ∈ S and x ∈ X , if | x | ≤ | s | then x ∈ S . An ordered vector space whose order is Archimedean is said to be Archimedean ordered. If S ⊆ X then the ideal generated by S is the smallest ideal in X containing S . An ideal generated by a singleton set is called a principal ideal in X .
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Solid_set
date created:
date modified:
2022-11-02T23:09:28Z
main entity:
{"identifier":"Q96405958","url":"https://www.wikidata.org/entity/Q96405958"}
image:
fields total:
13
integrity:
13