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.

Read more about Fundamental Theorem On Homomorphisms:  Group Theoretic Version, Other Versions

Famous quotes containing the words fundamental and/or theorem:

    I believe that the fundamental proposition is that we must recognize that the hostilities in Europe, in Africa, and in Asia are all parts of a single world conflict. We must, consequently, recognize that our interests are menaced both in Europe and in the Far East.
    Franklin D. Roosevelt (1882–1945)

    To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.
    Albert Camus (1913–1960)