Algebra

While studying for the algebra qualifying exam, I typed up solutions for the problems I worked on. I passed with the Fall 2021 exam.

Resources

• Wertheim, A., Algebra Qualifying Exams

Table of Contents

• Spring 2016
• Fall 2016

Spring 2016

• Problem 1
  ring theory
• Problem 2
  category theory
• Problem 3
  ring theory
• Problem 4
  ring theory
• Problem 5
  module theory
• Problem 6
  Galois theory
• Problem 7
  Galois theory
• Problem 8
  representation theory
• Problem 9
  group theory
• Problem 10
  Galois theory

Fall 2016

• Problem 1
  group theory
• Problem 2
  representation theory
• Problem 3
  module theory
• Problem 4
  representation theory
• Problem 5
  Galois theory
• Problem 6
  Galois theory
• Problem 7
  Galois theory
• Problem 8
  category theory
• Problem 9
  category theory
• Problem 10
  module theory