Master's Student Learning Seminar

Chapter 1: Rings and Ideals

Speaker: Jack Wallace, NYU CIMS

Location: Warren Weaver Hall 517

Date: Thursday, February 8, 2018, 4 p.m.


This lecture will cover the basic definitions and theorems of rings and ideals necessary for the subsequent lectures.


  1. Rings and Ring Homomorphisms
  2. Ideals, Quotient Rings
  3. Zero Divisors, Nilpotent Elements, Units
  4. Prime Ideals and Maximal Ideals
  5. Nilradical and Jacobson Radical
  6. Operations on Ideals
  7. Extension and Contraction