MATH 3413 Survey of Modern Algebra 3/0/3

Prerequisite: MATH 2853 and MATH 3003 with a minimum grade of C

A survey of group, ring, and field theory. Topics include algebraic structures on the integers, the real numbers, and the complex numbers; modular arithmetic; the Euclidean Algorithm; group and ring homomorphisms and isomorphisms; and field extensions with applications to constructions.