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Theorems in algebra

Table of contents

Lemmas in algebra

Lemmas in category theory

Lemmas in group theory

Artin–Tate lemma

Bergman's diamond lemma

Bhaskara's lemma

Hensel's lemma

Nakayama's lemma

Noether normalization lemma

Shapiro's lemma

Summation by parts

Zariski's lemma

Abel's binomial theorem

Addition theorem

Ax–Grothendieck theorem

Bernstein–Kushnirenko theorem

Bertrand's postulate

Chevalley–Warning theorem

Classification of finite simple groups

Crystallographic restriction theorem

Haran's diamond theorem

Harish-Chandra isomorphism

Hilbert–Burch theorem

Koecher–Vinberg theorem

Krull–Akizuki theorem

Matlis duality

Nielsen–Schreier theorem

Niven's theorem

Norm residue isomorphism theorem

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