Category:抽象代数学の定理

Wedderburn's little theorem

Wedderburn–Artin theorem

Fundamental theorem on homomorphisms

Primitive element theorem

Going up and going down

Frobenius theorem (real division algebras)

Structure theorem for finitely generated modules over a principal ideal domain

Cartan–Dieudonné theorem

Artin–Schreier theory

Nakayama's lemma

Primary decomposition

Hopkins–Levitzki theorem