MATH 546 Advanced Module Theory

Category of modules. Generators and cogenerators.M-generated modules. Category (M). Generators in (M). M-injective modules. Self-injective modules. M-projective modules. Local rings. Finitely presented modules. Inverse limits. Finitely copresented modules. Finite uniform dimension. Complements and uniform dimension. Extending modules. Locally Noetherian extending modules. Locally Artinian modules.