 ##  [Algebraic Number Theory](/index.php/algebraic-number-theory) 

  ##  [Algebraic Number Theory](https://puremath.quantumdictionary.io/algebraic-number-theory-0) 

  
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- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 
Definition

The study of arithmetic properties of number fields and their rings of integers, including factorization, ideal class groups, unit groups, ramification, discriminants, and Galois-module structure.