Skip to content

Sections

Maps Timeline Graph Cosmos Life Culture Innovation People Climate Trends Art

Browse Dictionary Books Food Places Asteroids Search

© 2026 Vinony · Knowledge from Wikipedia, Wikidata, and 27 public APIs.

ideal · Vinony

🌐English

English Deutsch Français Polski Português Русский 한국어 中文日本語

EntityQ1656686· pop 8· linked from 127 articles

ideal

Also known as order ideal

in order theory, a nonempty, upward‐directed, downward‐closed subset of a preordered set

Available in 8 languages

Français
Deutsch
中文
Português
Czech
Polski
Ukrainian

via Wikidata sitelinks · CC0

Connections

partially ordered set

Categories

Ideals (ring theory)Order theory

Sources

wikipedia.externallinksexternallink

lattice

Entity

infimum and supremum

well-founded relation

complete partial order

ordered vector space

International Standard Book Number

digital object identifier

abstract algebra

Sign in to save

Similar entities

Discovered by embedding cosine similarity (sentence-transformers MiniLM, 384-dim).

Entitydist 0.24

least-upper-bound property

Entitydist 0.43

short-range order

Entitydist 0.54

Entitydist 0.62

Entitydist 0.62

Entitydist 0.63

Entitydist 0.64

Entitydist 0.65

Entitydist 0.65

Entitydist 0.67

Order of Fidelity

Entitydist 0.67

Order of the Golden Spur

Entitydist 0.67

What links here127 pages

Stone–Čech compactification

Order embedding

cofinite subset

well-founded relation

inverse semigroup

reflexive closure

Boolean prime ideal theorem

converse relation

ordered vector space

complemented lattice

Szpilrajn extension theorem

principal ideal

Marshall Harvey Stone