PMATH 701 - Graduate Algebra - Fall 2009 - University of Waterloo

Lectures

1. Sept 14 lecture
2. Sept 16 lecture
3. Sept 18 lecture
4. Sept 21 lecture
5. Sept 23 lecture
6. Sept 25 lecture, with additional notes
7. Sept 28 lecture
8. Sept 30 lecture
9. Oct 2 lecture
10. Oct 5 lecture
11. Oct 9 lecture
12. Oct 14 lecture
13. Oct 16 lecture
14. Oct 19 lecture
15. Oct 21 lecture
16. Oct 23 lecture
17. Oct 26 lecture (thanks to Mukto Akash)
18. Free and torsion-free modules, roughly Oct 28-30 lectures
19. Nov 2-4 lectures
20. Nov 6 lecture
21. Nov 9 lecture
22. Nov 11 lecture
23. Nov 16 lecture
24. Nov 18 lecture
25. Nov 20 lecture
26. Nov 23 lecture
27. Nov 25 lecture
28. Nov 27 lecture

Assignments

1. Assignment 1, due Friday October 9.
2. Assignment 2, due Friday October 23.
3. Assignment 3, due Friday November 6.
4. Assignment 4, due Monday December 14.

Final Project

• Project information
• Topics chosen so far:

  Name	Topic	Date	Time	Room
  Omar Leon Sanchez	Real closed fields	Nov 30	1:30	MC 2018B
  Alejandra Vicente Colmenaves	Dedekind domains	Nov 30	2:00	MC 2018B
  Laura Mancinska	Kaplansky's theorem on PI rings	Dec 2	1:30	MC 2018B
  Maris Ozols	Finite simple groups	Dec 2	2:00	MC 2018B
  Graeme Turner	Burnside's theorem	Dec 4	1:30	MC 2018B
  Leo Kwong	Euclidean rings	Dec 4	2:00	MC 2018B
  Salma Alghawi	Hall subgroups	Dec 7	1:30	MC 4040
  Thea Gegenberg	Nielsen-Schreier theorem	Dec 7	2:00	MC 4040
  Mukto Akash	Clifford Algebra and Spinor Group	Dec 7	2:45	MC 4040
  Matt Fiset	The Brauer group	Dec 7	3:15	MC 4040
  Kenneth Onuma	Loops and quasi-groups	Dec 8	1:30	MC 4040
  Nicholas LeCompte	Projective modules and short exact sequences	Dec 8	2:00	MC 4040

Textbooks

1. Joseph Rotman, Advanced Modern Algebra, QA 154.3 .R68 2002
2. Thomas Hungerford, Algebra, QA 155 .H83 1974

Here are some other recommended references:

1. D. Dummit and R. Foote, Abstract Algebra, QA 162 .D85
2. A. Papantonopoulou, Algebra: Pure & Applied, QA 162 .P36 2002
3. I. Herstein, Topics in Algebra, QA 155 .H4