Abstract Algebra 5210Q and 4210Q - (Fall 2009)


Instructor: Ralf Schiffler
Office: MSB 323
Phone: (860) 486-8381
E-mail: schiffler at math dot uconn dot edu
 Schedule:
TuTh 12:30-1:45 in MSB 307
Office Hours:
Wed 10:00-11:00, Th 3:15-4:00, or by appointment

Announcements: Homework 1 is due on Oct 1.
Homework 2 is due on Nov 5.

Exams:
Midterm 1: Thu Oct 15, 12:30 - 1:45 in MSB 307. Here are some practice problems

Final Exam: TBA

Description: 
Group theory: quotient groups, direct product, group actions, Sylow theorems, semidirect product, universal mapping properties
Ring theory: ideals, quotient rings, rings of fractions, Euclidean domains, principal ideal domains, polynomial rings,
Module theory: free modules, direct sums, homomorphisms, submodules, quotient module, vector spaces, basis, dimension.

 Prerequisites: You are supposed to be already familiar with the following topics:
Groups, homomorphisms, subgroups, cyclic groups, cosets, normal subgroups, Theorems of Lagrange and Cauchy, Integers modulo n, Chinese remainder theorem, rings and fields. Here is a handout.

Textbook:  
Dummit and Foote, Abstract Algebra, third edition, Wiley and Sons.
QA162.D85 2004.

This is the book I will use most of the time. It will also be the textbook for the second part of the course Abstract Algebra II in the spring.		 image


Other textbooks:  ... because sometimes it is nice to see things from a different point of view ...

- Lang, Algebra, QA154.3.L3 2002
- Godement, Algebra, QA155G5913
- Rotman, Theory of groups, QA171R67 1973
- Artin, Algebra, QA154.2.A77 1991

These books are ON RESERVE  available at the Homer Babbidge Library's iDesk. You can borrow them for three hours or overnight. Click here for the Library's info page on course reserves.

Course Grade: 3 homework assignments, 1 midterm, 1 final exam (cumulative)
Homework
 30 %

Midterm 1

30 %

Final Exam

40 %