Word.ws English Dictionary

Abel's irreducibility theorem

Abel's irreducibility theorem proper noun: a field theory result asserting that if ƒ(x) is a polynomial over a field F that shares a root with a polynomial g(x) that is irreducible over F, then every root of g(x) is a root of ƒ(x).

Proper noun

Abel's irreducibility theorem

  1. A field theory result asserting that if ƒ(x) is a polynomial over a field F that shares a root with a polynomial g(x) that is irreducible over F, then every root of g(x) is a root of ƒ(x).

Origin of Abel's irreducibility theorem

Described in 1829 by Niels Henrik Abel.

Questions about Abel's irreducibility theorem

What does Abel's irreducibility theorem mean?
Abel's irreducibility theorem means a field theory result asserting that if ƒ(x) is a polynomial over a field F that shares a root with a polynomial g(x) that is irreducible over F, then every root of g(x) is a root of ƒ(x).
What part of speech is Abel's irreducibility theorem?
Abel's irreducibility theorem is a proper noun.

Words near Abel's irreducibility theorem in the dictionary

  1. Abel test
  2. Abel tests
  3. Abel's formula
  4. Abel's identity
  5. Abel's impossibility theorem
  6. Abel's irreducibility theorem
  7. Abel's summation formula
  8. Abel's theorem
  9. Abel-Jacobi map
  10. Abel-Jacobi-Liouville identity
  11. Abel-Plana formula

Source and license

Adapted from Wiktionary: Abel's irreducibility theorem (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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