Category:抽象代数学の定理

Fundamental theorem on homomorphisms

Structure theorem for finitely generated modules over a principal ideal domain

Nakayama's lemma

Going up and going down

Frobenius theorem (real division algebras)

Cartan–Dieudonné theorem

Artin–Schreier theory

Hopkins–Levitzki theorem

Primitive element theorem

Wedderburn–Artin theorem

Wedderburn's little theorem

Primary decomposition