User:Kastberg/mh

M&H

Homology

• Excision_theorem

Modules

• submodule
• free module ==> projective module ==> flat module

• injective module
• indecomposable module
• simple module ==> cyclic module
• semisimple module
• finitely-generated module
• tensor product

Rings

• endomorphism ring
• local ring (localization of a ring)
• principal ideal domain
• quiver (mathematics)
• torsion (mathematics)
• annihilator (ring theory)
• jacobson radical

Functors

• tor functor
• ext functor
• adjoint functors
• additive functor

Category theory

• functor
• additive functor

Theorems

• Structure theorem for finitely generated modules over a principal ideal domain
• Krull-Schmidt_theorem (finite length module => direct sum of indecomposables.)
• Artin–Wedderburn theorem