Topics in Number Theory

 Math Essays: Differential Ring (2): Arithmetic Function Ring (marco-yuze-zheng.blogspot.com)

Math Essays: Finite subgroup of a field is cyclic group. (marco-yuze-zheng.blogspot.com)

Math Essays: Legendre symbol: An exact sequence point of view. (marco-yuze-zheng.blogspot.com)

Math Essays: More on Legendre symbol (marco-yuze-zheng.blogspot.com)

Math Essays: Essential preliminary for algebraic number theory (1) (marco-yuze-zheng.blogspot.com)

https://marco-yuze-zheng.blogspot.com/2024/10/galois-group-of-cyclotomic-field.html

https://marco-yuze-zheng.blogspot.com/2024/11/the-law-of-quadratic-reciprocity.html

Algebraic Number Theory

Algebriac Number Theory:1

Integral Closure as a Filtered Colimit and Its Applications

Structural Properties of Finitely Generated Modules and Their Applications in Integrality Theory over Noetherian Rings - An Elements Free Approach

ANT week 1.1

Representability of the Root Functor and Counting Embeddings of a Finite Separable Extension

ANT week 2.2

ANT week 3.1

ANT week 3.2

 ANT week 4,5 AG point of view