Part I: Fundamental Concepts Modules and Maps 1. The Ring as a Module over Itself Part II: Projectivity 2. Coproducts of Copies of R (Free Modules) 3. Direct Summands of Free Modules (Projective Modules) 4. Submodules of Free Modules 5. Factor Modules of Free Modules Part III: Injectivity 6. Enlarging Homomorphisms 7. Embedding Modules in Injective Modules 8. Injective Modules as a Class 9. Structure of Injective Modules Part IV: Countability 10. Finitely-Generated Modules 11. Countably-Generated Modules 12. Coproducts of Countably-Generated Modules 13. Projective Modules Part V: Rings and Modules of Quotients 14. Torsion and Torsion free Modules 15. The Module of Quotients 16. Rings of Quotients

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