Algebraic number theory is a branch of mathematics that studies the properties of numbers in the context of algebraic structures, particularly focusing on the algebraic properties of integers, rational numbers, and their extensions. It combines elements of both number theory and abstract algebra, particularly through the study of number fields and their rings of integers. Key concepts in algebraic number theory include: 1. **Number Fields**: These are finite degree extensions of the field of rational numbers (ℚ).
