Category:抽象代数学の定理

Nakayama's lemma

Fundamental theorem on homomorphisms

Wedderburn–Artin theorem

Structure theorem for finitely generated modules over a principal ideal domain

Primary decomposition

Wedderburn's little theorem

Frobenius theorem (real division algebras)

Going up and going down

Cartan–Dieudonné theorem

Artin–Schreier theory

Hopkins–Levitzki theorem

Primitive element theorem

Krull–Schmidt theorem

Correspondence theorem