MA 407 - Abstract Algebra II

Commutative rings, ideals, and the construction of quotient rings. Axiomatic description of fields; algebraic (and transcendental) extensions of fields. Applications of field theory to ruler-and-compass constructions; Galois theory and the non-solvability by radicals of quintic equations. Other topics as time permits.

Credits: 4

Prerequisites/Restrictions: MA 406