Finitely Generated Implies Integral Algebraic Number Theory Norm-Prime Elements Are Irreducible Algebraic Number Theory Integrality and the Characteristic Polynomial Algebraic Number Theory Properties of the Riemann Zeta Function Algebraic Number Theory Properties of Zeta Functions of Number Fields Algebraic Number Theory Multiplicativity of the Ideal Norm Algebraic Number Theory Integers of Quadratic Fields Algebraic Number Theory Ring of Integers is a Ring Algebraic Number Theory