Nonzero Ideals Have Bounded Quotients Algebraic Number Theory Prime Ideals Lie Above Rational Primes Algebraic Number Theory Transitivity of Integrality Algebraic Number Theory Behaviour of 2 in Quadratic Fields Algebraic Number Theory Dirichlet's Unit Theorem for Real Quadratic Fields Algebraic Number Theory Integrality Criterion via Minimal Polynomial Algebraic Number Theory Areas of Ideal Lattices Algebraic Number Theory Every Class Has a Small Representative Algebraic Number Theory