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.
Synopsis:
Topics to be covered (time permitting):
- Rudimentary Category Theory (terminology)
- Modules and Module Homomorphisms
- Submodules and Quotient Modules
- Operations on Submodules
- Direct Sum and Product
- Finitely Generated Modules
- Exact Sequences of Modules
- Tensor Product of Modules
- Restriction and Extension of Scalars
- Exactness Properties of the Tensor Product Functor
- Algebras and their Tensor Products