James Cook's Abstract Algebra II Homepage:
Welcome.

Course Materials for Spring 2026 Abstract Algebra II:

• Abstract Algebra II You Tube Playlist (Lectures from Spring 2026)
• Course Plan for Spring 2026


• Lectures for Math 422 of Spring 2026:
  
  • Lecture 1: On Equations and Symmetries
  • Lecture 2: Group Actions and the Class Equation
  • Lecture 3: Sylow Theorems, Classification of Groups, Isomorphism
  • Lecture 4: Rings, definition and basic examples.
  • Lecture 5: Ring Homomorphism and Quotient Rings
  • Lecture 5: Ring Homomorphism and Quotient Rings
  • Lecture 6: Properties of Ideals, prime and maximal ideals
  • Lecture 7: Domain Expansion!in-class, we discussed characteristic of ring, embedded Z or Zn, and field of fractions for an integral domain.
• Missions of 2026:
  
  • Mission 1: group actions and rings.
  • Mission 2: field extensions and Galois theory.

my Abstract Algebra I(2018) notes. These are helpful for the first bit of the course which I covered in Math 421.
That said, I'm trying to write lectures specific to this semester.
If I get sick or something, we'll use these probably.

Course Materials from past terms:

1. You Tube Playlist for Math 422 of the Spring 2019 semester
2. You Tube Playlist for Math 422 of the Spring 2018 semester
3. You Tube Playlist for Math 422 of the Spring 2017 semester

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Last Modified: 2-3-2026