Maodern Algebra I: Math 627a, Fall 2005

Homework assignments to turn in.
Due Date Topics Problem Set (.pdf)
Fri. 9/23 Homomorphisms of rings,
associates and ideals,
First Set
Mon. 10/3 Derivatives, repeated roots,
Second Set
Wed. 10/12 Euclidean domains and the Gaussian integers,
extension fields, finite fields.
Third Set
Wed. 10/26 Criteria for irreducibility,
roots of a cubic polynomial,
algebraic, separable and purely inseparable extensions.
Fourth Set
Mon. 11/21 Normal subgroups.
Free abelian groups.
Fifth Set
Mon. 12/12 Galois groups and
Galois field extensions,
Sixth Set