Category:抽象代数学の定理

Fundamental theorem on homomorphisms

Structure theorem for finitely generated modules over a principal ideal domain

Primitive element theorem

Nakayama's lemma

Wedderburn's little theorem

Primary decomposition

Correspondence theorem

Frobenius theorem (real division algebras)

Krull–Schmidt theorem

Going up and going down

Cartan–Dieudonné theorem

Hopkins–Levitzki theorem

Wedderburn–Artin theorem

Artin–Schreier theory