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What is Algebraic Numbers and Fields Overview about?

This document provides an overview of algebraic numbers and algebraic number fields. It begins by defining algebraic numbers as complex numbers that are roots of polynomials with rational coefficients. It then defines the field of algebraic numbers Q and proves several properties about it. The document introduces algebraic integers as algebraic numbers that are roots of polynomials with integer coefficients. It defines the ring of algebraic integers Z and proves several related lemmas. Finally, it defines a

Author

Javiera Bastías González

Language

EN