# MATH 627 - Algebraic Number Theory - Spring 2018

** Credits 3. 3 Lecture Hours. **

Algebraic number fields and rings of algebraic integers; arithmetic in algebraic number fields; ideals; unique factorization of ideals; ideal classes and the class group; finiteness of the class number; Minkowski's theorem; Dirichlet's unit theorem; quadratic and cyclotomic number fields; splitting of primes in extension fields. **Prerequisite:** MATHÂ 653 or approval of instructor.

### Sections

**This course is not taught in Spring 2018.**