Commutative rings, ring homomorphisms and quotient rings, ideals, rings of fractions, the Chinese remainder theorem; Euclidean domains, principal ideal domains, unique factorization domains; polynomial rings over fields; modules, direct sums of modules, free modules; modules over a principal ideal domain, the rational canonical form, the Jordan canonical form. Antirequisite(s): The former Mathematics 308a/b. Prerequisite(s): Mathematics 3120A/B. Corequisite(s): Pre-or Corequisite(s): Extra Information: 3 lecture hours, 0.5 course. back to top