Field theory and polynomials Basic notions Concept
Field homomorphism
Summary
A field homomorphism is a map between two fields that respects addition, multiplication and the unit element. It is a ring homomorphism whose source and target are fields. Every field homomorphism is injective, so it identifies the first field with a subfield of the second. This is why field theory speaks of embeddings and of field extensions.
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About this page
| Tag | EZVN87C88J |
|---|---|
| URI | m2://EZVN87C88J |
| Kind | concept |
| Writing | W0 stub |
| MSC | 12F05, 12E99 |
| Specializes | Ring homomorphism |
| Changed | 2 November 2026 |
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