Class Notes for Modern Algebra - Spring 2003 Math 5530

• Chapter I: Rings, Modules, and Algebras
  • Section 1: Definitions, Examples.   (dvi /pdf/ tex  - February 4, 2003)
  • Section 2: Ideals and Homomorphisms.   (dvi /pdf/ tex  - February 4, 2003)
  • Section 3: Quotient Rings and the Ring Isomorphism Theorems.   (dvi /pdf/ tex  - February 4, 2003)
  • Section 4: Polynomials Rings I: R[[x]] and R[x].   (dvi /pdf/ tex  - February 4, 2003)
  • Section 5: Modules.   (dvi /pdf/ tex  - February 4, 2003)
  • Section 6: Free Modules.   (dvi /pdf/ tex  - February 4, 2003)
  • Section 7: Appendix: Some Linear Algebra -- Coordinates.   (dvi /pdf/ tex  - February 4, 2003)
  • Section 8: Appendix: Qualifier Problems.   (dvi /pdf/ tex  - February 11, 2003)
• Chapter II: Rings and Modules -- Beyond Basic Properties
  • Section 1: Overview: Polynomial Rings, polynomial equations, and Algebraic Geometry.   (dvi /pdf/ tex  - February 11, 2003)
  • Section 2: Noetherian Rings and Modules.   (dvi /pdf/ tex  - February 18, 2003)
  • Section 3: Localization.   (dvi /pdf/ tex  - February 18, 2003)
  • Section 4: Factorization.   (dvi /pdf/ tex  - February 25, 2003)
  • Section 5: Semisimple Rings and Modules.   (dvi /pdf/ tex  - April 17, 2003)
• Chapter III: Field Theory
  • Section 1: (Pretty crude notes...)   (dvi /pdf/ tex  - April 30, 2003)
• Complete notes so far.   (dvi /pdf  - April 17, 2003)
• Course notes from Math 5530, Spring 1997.   (dvi /pdf - contains a few errors)

Math 5530 Home
Last modified: Wed Apr 30 16:04:55 CDT 2003