MAT 450 Abstract Algebra

This course introduces the algebraic structures of groups, rings, and fields, and provides a detailed investigation and description of their properties. Topics covered include cyclic and permutation groups, isomorphisms and homomorphisms, cosets, direct products, normal subgroups, factor groups, integral domains, ideals, and factor rings. If time permits, splitting fields, algebraic extensions, and finite fields will also be discussed. Typically offered only in the spring semester of even years. Prerequisite(s): MAT 290  or permission of instructor. 3 hour(s).