Word.ws English Dictionary

first isomorphism theorem

first isomorphism theorem proper noun: the theorem in group theory that, for any group homomorphism, the quotient group of the group by the kernel of the homomorphism is isomorphic to the image of the homomorphism.

Proper noun

the first isomorphism theorem

  1. The theorem in group theory that, for any group homomorphism, the quotient group of the group by the kernel of the homomorphism is isomorphic to the image of the homomorphism.

Questions about first isomorphism theorem

What does first isomorphism theorem mean?
First isomorphism theorem means the theorem in group theory that, for any group homomorphism, the quotient group of the group by the kernel of the homomorphism is isomorphic to the image of the homomorphism.
What part of speech is first isomorphism theorem?
First isomorphism theorem is a proper noun.

Words near first isomorphism theorem in the dictionary

  1. First Intermediate Period
  2. first inversion
  3. first inversions
  4. first is the worst, second is the best, third is the one with the hairy chest
  5. first island chain
  6. first isomorphism theorem
  7. First Laddie
  8. First Laddies
  9. first ladies
  10. First Ladies of the United States
  11. first lady

Source and license

Adapted from Wiktionary: first isomorphism 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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