Lecture 3. Exercises on Projective and Injective Modules

  1. 00:16Exactness of Hom
  2. 07:52Proof of the Proposition
  3. 12:42Proof of the Alternative Statement
  4. 20:23Remarks on the Proof
  5. 21:50Exactness of Tensor Product
  6. 35:10Dual Abelian Groups Proposition
  7. 42:30Projective Modules
  8. 46:20Injective Modules
  9. 50:23Left and Right Modules Projective Modules
  10. 53:37Theorem (on Projective Modules)
  11. 01:07:57Proof: Exercise
  12. 01:12:12Adjunction
  13. 01:21:30Proposition on Hom(S,I)
  14. 01:28:30Chain Complexes
  15. 01:31:36Counterexample With Modules