Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:category |
gptkb:order_theory
axiom of set theory |
| gptkbp:equivalentTo |
gptkb:Axiom_of_Choice
gptkb:Well-ordering_theorem |
| gptkbp:field |
gptkb:set_theory
|
| gptkbp:formedBy |
gptkb:Max_Zorn
1935 |
| https://www.w3.org/2000/01/rdf-schema#label |
Zorns Lemma
|
| gptkbp:implies |
existence of maximal ideals in rings
existence of a basis for every vector space |
| gptkbp:language |
English
|
| gptkbp:namedAfter |
gptkb:Max_Zorn
|
| gptkbp:publicationYear |
1935
|
| gptkbp:publishedIn |
gptkb:Bulletin_of_the_American_Mathematical_Society
|
| gptkbp:relatedTo |
gptkb:Hausdorff_maximal_principle
|
| gptkbp:sentence |
A partially ordered set in which every chain has an upper bound contains at least one maximal element.
|
| gptkbp:usedIn |
gptkb:algebra
gptkb:topology analysis functional analysis |
| gptkbp:bfsParent |
gptkb:Hollis_Frampton
|
| gptkbp:bfsLayer |
6
|