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. Prerequisite: either a minimum grade of 2.0 in MATH 300 and a minimum grade of 2.0 in either MATH 208 or MATH 308, a minimum grade of 2.0 in MATH 334, or a minimum grade of 2.0 in MATH 136 and a minimum grade of 2.0 in MATH 300. Offered: AWS.