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Theorems in abstract algebra

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Theorems about algebras

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Theorems in algebraic geometry

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Theorems in algebraic number theory

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Theorems in algebraic topology

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Theorems in group theory

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Theorems in lattice theory

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Theorems in representation theory

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Theorems in ring theory

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Abhyankar's conjecture

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Abhyankar's inequality

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Abhyankar's lemma

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Cartan's theorem

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Dimension theorem for vector spaces

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Dold–Kan correspondence

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Eckmann–Hilton argument

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Fundamental lemma (Langlands program)

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Fundamental theorem on homomorphisms

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Gabriel–Popescu theorem

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Generic flatness

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Joubert's theorem

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Latimer–MacDuffee theorem

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Primitive element theorem

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Quillen–Suslin theorem

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Segal's conjecture

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Strassmann's theorem

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Structure theorem for finitely generated modules over a principal ideal domain

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Whitehead's lemma

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