# Fundamental theorem on homomorphisms

In abstract algebra, the fundamental theorem on homomorphisms, also known as the fundamental homomorphism theorem, relates the structure of two objects between which a homomorphism is given, and of the kernel and image of the homomorphism. The homomorphism theorem is used to prove the isomorphism theorems.

## Words

This table shows the example usage of word lists for keywords extraction from the text above.

Word | Word Frequency | Number of Articles | Relevance |
---|---|---|---|

homomorphism | 5 | 187 | 0.92 |

theorem | 5 | 4782 | 0.63 |

homomorphisms | 3 | 85 | 0.594 |

fundamental | 4 | 7491 | 0.472 |