Master's Student Learning Seminar

Chapter 2: Modules

Speaker: Antonios-Alexandros Robotis, NYU CIMS

Location: Warren Weaver Hall 517

Date: Thursday, February 15, 2018, 4 p.m.


Topics to be covered (time permitting):

  1. Rudimentary Category Theory (terminology)
  2. Modules and Module Homomorphisms
  3. Submodules and Quotient Modules
  4. Operations on Submodules
  5. Direct Sum and Product
  6. Finitely Generated Modules
  7. Exact Sequences of Modules
  8. Tensor Product of Modules
  9. Restriction and Extension of Scalars
  10. Exactness Properties of the Tensor Product Functor
  11. Algebras and their Tensor Products