References:
[1] Neukirch J. - Algebraic Number theory

[2] Fesenko I. - Core Topics in Number Theory I


 

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Classroom diary (September-December 2025):
1 - 08/09 - Integral elements. Integral closure. Ring of integers. Norm and Trace. Discriminants. Ref. [1, I.2].

2 - 15/09 - Norm and trace with respect to integral structures. Integral bases. Discriminant of a number field. Dedekind domains. Ref. [1, I.2, I.3].

3 - 22/09 - Unique factorization of ideals in Dedekind domains. The group of fractional ideals and the class group. Ref. [1, I.3].

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