Back Věta o homomorfismu Czech Homomorphiesatz German Fundamenta teoremo pri homomorfioj Esperanto Teorema fundamental de homomorfismos Spanish Homomorfialause Finnish Théorème de factorisation French Teorema fundamental dos homomorfismos Galician 準同型定理 Japanese 준동형 정리 Korean Homomorfiestelling Dutch
In abstract algebra, the fundamental theorem on homomorphisms, also known as the fundamental homomorphism theorem, or the first isomorphism 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. Similar theorems are valid for vector spaces, modules, and rings.