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Galois extensions

Galois extensions is the plural of Galois extension.

Meaning of Galois extension

Noun

Galois extension (plural Galois extensions)

  1. (Galois theory) An algebraic extension that is both a normal and a separable extension; equivalently, an algebraic extension E/F such that the fixed field of its automorphism group (Galois group) Aut(E/F) is the base field F.
    • The significance of a Galois extension is that it has a Galois group and obeys the fundamental theorem of Galois theory.

Questions about Galois extensions

What is Galois extensions the plural of?
Galois extensions is the plural of Galois extension.

Words near Galois extensions in the dictionary

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

Source and license

Adapted from Wiktionary: Galois extensions (page history and authors); Galois extension (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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