Category:Module theory

• Glossary of module theory (computing)

*

• Modular representation theory (computing)
• Module (mathematics) (computing)
• Morita equivalence (computing)

A

• Algebra representation (computing)
• Algebraically compact module (computing)
• Annihilator (ring theory) (computing)
• Artin–Rees lemma (computing)
• Artinian module (computing)
• Associated prime (computing)

B

• Balanced module (computing)
• Beauville–Laszlo theorem (computing)
• Bimodule (computing)

C

• Character module (computing)
• Comodule (computing)
• Composition series (computing)
• Continuous module (computing)
• Countably generated module (computing)
• Cyclic module (computing)

D

• Decomposition of a module (computing)
• Dense submodule (computing)
• Depth (ring theory) (computing)
• Direct sum of modules (computing)
• Dual module (computing)

E

• Eilenberg–Mazur swindle (computing)
• Elementary divisors (computing)
• Endomorphism ring (computing)
• Essential extension (computing)

F

• Finite module (computing)
• Finitely generated module (computing)
• Fitting lemma (computing)
• Flat cover (computing)
• Flat module (computing)
• Free module (computing)
• Frobenius algebra (computing)

G

• Global dimension (computing)

H

• Hopfian object (computing)

I

• Indecomposable module (computing)
• Injective hull (computing)
• Injective module (computing)
• Invariant basis number (computing)
• Invariant factor (computing)
• Isotypical representation (computing)

J

• Jacobson density theorem (computing)

K

• Krull–Schmidt theorem (computing)

L

• Lattice (module) (computing)
• Length of a module (computing)
• Localization (algebra) (computing)
• Localization (commutative algebra) (computing)
• Localization of a module (computing)

M

• Mitchell's embedding theorem (computing)
• Module of covariants (computing)

N

• Noetherian module (computing)

P

• Pairing (computing)
• Primitive ideal (computing)
• Principal indecomposable module (computing)
• Projective cover (computing)
• Projective module (computing)
• Pure submodule (computing)

Q

• Quasi-Frobenius ring (computing)
• Quotient module (computing)

R

• Radical of a module (computing)
• Reflexive module (computing)
• Remak decomposition (computing)
• Resolution (algebra) (computing)

S

• Schanuel's lemma (computing)
• Semimodule (computing)
• Semisimple module (computing)
• Serial module (computing)
• Simple module (computing)
• Singular submodule (computing)
• Socle (mathematics) (computing)
• Stably free module (computing)
• Supermodule (computing)
• Support of a module (computing)

T

• Tensor product of modules (computing)
• Top (mathematics) (computing)
• Torsion (algebra) (computing)
• Torsionless module (computing)

U

• Uniform module (computing)