用户: Ruiqi chen/Algebraic Number Theory

目录

1域的赋值

2Hensel 引理与 Newton 折线

3域的扩张

附录

4Dedekind 整环上投射模结构定理

5代数整数环是 Bézout 整环

参考文献

Jürgen Neukirch (2013). Algebraic number theory, vol. 322. Springer Science & Business Media.

Jürgen Neukirch, et al. (1986). Class field theory, vol. 280. Springer.

Jean-Pierre Serre (2013). Local fields, vol. 67. Springer Science & Business Media.

James S Milne (2008). Algebraic number theory. JS Milne.

Kazuya Kato, Nobushige Kurokawa, Takeshi Saitō, Masato Kurihara (2000). Number theory: introduction to class field theory, vol. 186. American Mathematical Soc..

Kazuya Kato, Nobushige Kurokawa, Takeshi Saitō, Masato Kurihara (2000). Number Theory: Iwasawa theory and modular forms, vol. 186. American Mathematical Soc..