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Theorems in abstract algebra

Table of contents

Theorems about algebras

Theorems in algebraic geometry

Theorems in algebraic number theory

Theorems in algebraic topology

Theorems in group theory

Theorems in lattice theory

Theorems in representation theory

Theorems in ring theory

Abhyankar's conjecture

Abhyankar's inequality

Abhyankar's lemma

Cartan's theorem

Dimension theorem for vector spaces

Dold–Kan correspondence

Eckmann–Hilton argument

Fundamental lemma (Langlands program)

Fundamental theorem on homomorphisms

Gabriel–Popescu theorem

Generic flatness

Joubert's theorem

Latimer–MacDuffee theorem

Primitive element theorem

Quillen–Suslin theorem

Segal's conjecture

Strassmann's theorem

Structure theorem for finitely generated modules over a principal ideal domain

Whitehead's lemma

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