Word.ws English Dictionary

perfect fields

perfect fields is the plural of perfect field.

Meaning of perfect field

Noun

perfect field (plural perfect fields)

  1. (field theory) A field K such that every irreducible polynomial over K has distinct roots.
    • If K is a perfect field of prime characteristic p, and if n is a nonnegative integer, then the mapping α→α from K to K is an automorphism.1984, Julio R. Bastida, Field Extensions and Galois Theory, Cambridge University Press, Addison-Wesley, page 10

Questions about perfect fields

What is perfect fields the plural of?
Perfect fields is the plural of perfect field.

Words near perfect fields in the dictionary

  1. perfect crime
  2. perfect crimes
  3. perfect cube
  4. perfect cubes
  5. perfect field
  6. perfect fields
  7. perfect fifth
  8. perfect fifths
  9. perfect fourth
  10. perfect fourths
  11. perfect game

Source and license

Adapted from Wiktionary: perfect fields (page history and authors); perfect field (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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