Abstract Algebra II

3 Credits · Level: Graduate, Undergraduate

This course will cover rings and their homomorphisms, ideals, prime and maximal ideals, Euclidean domains, principal ideal domains, unique factorization domains, polynomial rings, irreducibility criteria for polynomials, and Galois theory as much as time permits: fields and their extensions, splitting fields, separable and normal extensions, automorphism groups of fields, Galois extensions and modules.