Instructor:  Markus Schmidmeier
Course:  Algebraic Number Theory
Fall 2021

Algebraic Number Theory ---  Homework assignments

All problem numbers refer to our textbook by Robert B. Ash, Algebraic Number Theory

Textbook
Sections

Problems
 

due
 

1.1: Integral extensions 1.1/ 1-6 Friday, September 3 (modified 8-27).
2.2: Integers in quadratic extensions 2.2/ 1-5 Friday, September 10.
2.2: Dual basis 2.2/ 6-9 Friday, September 17.
2.1: Some traces 2.1/ 1-4 Friday, September 24.
3.1: A prime avoidance lemma 3.1/ 1-3 Friday, October 1.
3.2: Relatively prime ideals 3.2/ 1-3 Friday, October 8.
3.3: A Dedekind ring which is not a UFD 3.3/ 1-4 Friday, October 15.
3.4: Example of splitting and ramification 3.4/ 1-4 Friday, October 22.
6.1: Minkowski's Theorem 6.1/ 1-4 Friday, October 29.
6: Examples for Dirichlet's Theorem 6.3/ 1 Friday, November 5.
6: The ring ℤ[√5] 6.3/ 2-5 Friday, November 12.
5: Minkowski bound 5.3/ 1-4 Friday, November 19.

Last modified:  by Markus Schmidmeier