Similar to アルティン・リースの補題

Serre–Swan theorem

Multiplicatively closed set

Total ring of fractions

Finitely generated algebra

Polynomial ring

Principal ideal domain

Chinese remainder theorem

Dedekind domain

Dual number

Hilbert–Samuel function

Hilbert series and Hilbert polynomial

Fitting ideal

Henselian ring

Hensel's lemma

Tight closure

Euclidean domain

Excellent ring

Discrete valuation

Discrete valuation ring

Weierstrass preparation theorem

Module (mathematics)

Injective hull

Localization of a module

Category of modules

Radical of a module

Support of a module

Direct sum of modules

Tensor product of modules