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- Galois_connection abstract "In mathematics, especially in order theory, a Galois connection is a particular correspondence (typically) between two partially ordered sets (posets). The same notion can also be defined on preordered sets or classes; this article presents the common case of posets. Galois connections generalize the correspondence between subgroups and subfields investigated in Galois theory (named after the French mathematician Évariste Galois). They find applications in various mathematical theories.A Galois connection is rather weak compared to an order isomorphism between the involved posets, but every Galois connection gives rise to an isomorphism of certain sub-posets, as will be explained below.The literature contains two closely related notions of "Galois connection". In this article, we will distinguish between the two by referring to the first as (monotone) Galois connection and to the second as antitone Galois connection.".
- Galois_connection wikiPageExternalLink gal_bw.ps.gz.
- Galois_connection wikiPageExternalLink primer.ps.
- Galois_connection wikiPageID "156411".
- Galois_connection wikiPageRevisionID "602393364".
- Galois_connection hasPhotoCollection Galois_connection.
- Galois_connection subject Category:Abstract_interpretation.
- Galois_connection subject Category:Closure_operators.
- Galois_connection subject Category:Galois_theory.
- Galois_connection subject Category:Order_theory.
- Galois_connection type Abstraction100002137.
- Galois_connection type ClosureOperators.
- Galois_connection type Function113783816.
- Galois_connection type MathematicalRelation113783581.
- Galois_connection type Operator113786413.
- Galois_connection type Relation100031921.
- Galois_connection comment "In mathematics, especially in order theory, a Galois connection is a particular correspondence (typically) between two partially ordered sets (posets). The same notion can also be defined on preordered sets or classes; this article presents the common case of posets. Galois connections generalize the correspondence between subgroups and subfields investigated in Galois theory (named after the French mathematician Évariste Galois).".
- Galois_connection label "Conexión de Galois".
- Galois_connection label "Conexão de Galois".
- Galois_connection label "Correspondance de Galois".
- Galois_connection label "Galois connection".
- Galois_connection label "Galoisverbindung".
- Galois_connection label "伽罗瓦连接".
- Galois_connection sameAs Galoisverbindung.
- Galois_connection sameAs Conexión_de_Galois.
- Galois_connection sameAs Correspondance_de_Galois.
- Galois_connection sameAs Conexão_de_Galois.
- Galois_connection sameAs m.014jd8.
- Galois_connection sameAs Q1491747.
- Galois_connection sameAs Q1491747.
- Galois_connection sameAs Galois_connection.
- Galois_connection wasDerivedFrom Galois_connection?oldid=602393364.
- Galois_connection isPrimaryTopicOf Galois_connection.