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