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Galois connections

Galois connections is the plural of Galois connection.

Meaning of Galois connection

Noun

Galois connection (plural Galois connections)

  1. A type of correspondence between partially ordered sets (posets), also applicable to preordered sets.
    • Define maps G:A→B and F:B→A by G(a)=y!∈!Y|∀x!∈!axρy and F(b)=x!∈!X|∀y!∈!bxρy. Then (F,G) is called a Galois connection of the first kind.1986, Horst Herrlich, Miroslav Hušek, Galois Connections, Austin Melton, Mathematical Foundation of Programming Semantics: International Conference, Proceedings, Springer, Lecture Notes in Computer...

Questions about Galois connections

What is Galois connections the plural of?
Galois connections is the plural of Galois connection.

Words near Galois connections in the dictionary

  1. galoched
  2. galoches
  3. galocitabine
  4. Galois
  5. Galois connection
  6. Galois connections
  7. Galois extension
  8. Galois extensions
  9. Galois field
  10. Galois fields
  11. Galois group

Source and license

Adapted from Wiktionary: Galois connections (page history and authors); Galois connection (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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