Math 551, Fall 2000
Math 551 will be the first semester of the standard introductory algebra course, covering group theory, factorization in commutative rings, modules over a PID, and related topics. The textbook is Serge Lang's Algebra (third edition). Notices and assignments will appear on this page.
Instructor: Richard Lyons. Office hours: Tuesday 4th period in Hill 236, or by appointment.
Assignment 1, due 9/14 (.dvi) (.pdf)
Assignment 2, due 9/28 (.dvi) (.pdf)
Assignment 3, due 10/5 (.dvi) (.pdf)
Assignment 4, due 10/17 (.dvi) (.pdf) (.ps)
Assignment 5, due 10/24 (.dvi) (.pdf) (.ps) Assignment 6, due 11/9 (.dvi) (.pdf) (.ps) Assignment 7, due 11/21 (.dvi) (.pdf) Assignment 8, due 12/12 (.dvi) (.pdf) (.ps) Some of my lecture notes: (use these at your own risk, they are not carefully checked!)- Groups: definition, examples (.dvi) (.pdf)
- Group actions (.dvi) (.pdf)
- The Jordan-Holder meat-axe (.dvi) (.pdf)
- Free groups and presentations (.dvi) (.pdf)
- The analysis of groups (.dvi) (.pdf)
- Direct products and sums, abelian groups, modules over PID's (.dvi) (.pdf)
- Linear transformations; canonical forms (.dvi) (.pdf)
- Duality and bilinear forms (.dvi) (.pdf)
- A bit of categories (.dvi) (.pdf)
- Factorization in commutative rings (.dvi) (.pdf)
