Introduction to ring and field theory, including: polynomial rings, matrix rings, ideals and homomorphisms, quotient rings, Chinese remainder theorem, Euclidean domains, principal ideal domains, unique factorization domains, introduction to module theory, basic theory of field extensions, splitting fields and algebraic closures, finite fields, introduction to Galois theory. Weekly hours: 3 Lecture hours and 1 Practicum/Lab hoursPrerequisite(s): MATH 163 and MATH 164; or MATH 266
Introduction to ring and field theory, including: polynomial rings, matrix rings, ideals and homomorphisms, quotient rings, Chinese remainder theorem, Euclidean domains, principal ideal domains, unique factorization domains, introduction to module theory, basic theory of field extensions, splitting fields and algebraic closures, finite fields, introduction to Galois theory. Weekly hours: 3 Lecture hours and 1 Practicum/Lab hoursPrerequisite(s): MATH 163 and MATH 164; or MATH 266
