Academic Catalog

MATH523 ALGEBRAIC NUMBER THEORY

Course Code: 2360523
METU Credit (Theoretical-Laboratory hours/week): 3(3-0)
ECTS Credit: 8.0
Department: Mathematics
Language of Instruction: English
Level of Study: Graduate
Course Coordinator: Assoc.Prof.Dr. ALÝ ULAÞ ÖZGÜR KÝÞÝSEL
Offered Semester: Fall Semesters.

Course Content

Ring of integers of an algebraic number field. Integral bases. Norms and traces. The discriminant. Factorization into irreducibles. Euclidean domains. Dedekind domains. Prime factorization of ideals. Minkowski’s theorem. Class-group and class number.