Algebraic Number Theory Apr 2026

The field was historically motivated by the pursuit of Fermat’s Last Theorem . Early mathematicians discovered that while unique factorization into primes works for ordinary integers Zthe integers , it often fails in more general rings of integers.

: In certain number rings, a single number can be factored into irreducibles in multiple ways. For example, in Algebraic Number Theory

: Developed by Richard Dedekind, this theory "restores" unique factorization by looking at ideals rather than individual elements. The field was historically motivated by the pursuit

: Numbers that are roots of monic polynomials with integer coefficients. in : Developed by Richard Dedekind