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Bilkent University

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Undergraduate and Graduate Programs 2023-2024

MATH 453 Algebraic Number Theory

Principal ideal domains, unique factorization domains, residue classes. Algebraic integers. Integral basis. Discriminant. Quadratic and cyclotomic extensions. Norm and trace. Ideals. Bounds for the discriminant. Units. Dirichlet's problem. Ramification of prime ideals. Credit units: 3 ECTS Credit units: 5, Prerequisite: MATH 253 or MATH 324.

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