Handouts for Math 210B, Winter 2008, "Modern Algebra"

Math 210B handouts

TeXed versions of Prof. Brumfiel's Word handouts for Math 210B, Win 2008.

• Galois Theory Outline
• Finite Multiplicative Subgroups of Fields
• Polynomial Rings of UFDs
• Free Groups
• Elementary Explanations of Finite Field Mysteries
• Solving the Cubic
• Roots of Unity
• Localization
• The Going Up Theorem
• Integral Ring Extensions
• Transcendence Degree and Noether Normalization
• The Nullstellensatz
• The Wussy Weak Nullstellensatz
• Some Noetherian Rings
• Dedekind Domains
• Finitely Generated Modules over a PID
• Remarks on Semidirect Products