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bn:03324437n
Noun Concept
Categories: Order theory, Ideals
EN
ideal  Partial Order Ideal  Decreasing subset  ideal of a poset  maximal filter
EN
In mathematical order theory, an ideal is a special subset of a partially ordered set. Wikipedia
English:
order theory
Definitions
Relations
Sources
EN
In mathematical order theory, an ideal is a special subset of a partially ordered set. Wikipedia
Special kind of lower sets of an order Wikipedia Disambiguation
A non-empty lower set (of a partially ordered set) which is closed under binary suprema (a.k.a. joins). Wiktionary
Lower set closed under joins. Wiktionary (translation)
IS A
partially ordered set
HAS KIND
prime ideal
OPPOSITE OF
filter
STUDIED BY
order theory
Wikipedia
EN
ideal (order theory)
Wikidata
EN
ideal
Wiktionary
EN
ideal
Wikipedia Redirections
EN
Decreasing subset, Ideal (lattice theory), maximal filter, Order-ideal, order ideal, Partial Order Ideal, Partial order ideal, prime filter, prime ideal (order theory), Semi-ideal
Wikidata Alias
EN
ideal of a poset

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