MATH 402 A: Introduction to Modern Algebra

Elementary theory of rings and fields: basic number theory of the integers, congruence of integers and modular arithmetic, basic examples of commutative and non-commutative rings, an in depth discussion of polynomial rings, irreducibility of polynomials, polynomial congruence rings, ideals, quotient rings, isomorphism theorems. Additional topics including Euclidean rings, principal ideal domains and unique factorization domains may be covered. Course overlaps with: MATH 411; MATH 412; and STMATH 403. Prerequisite: either a minimum grade of 2.0 in both MATH 208 and MATH 300, a minimum grade of 2.0 in both MATH 136 and MATH 300, or a minimum grade of 2.0 in MATH 334. Offered: AWS.