MA 3G6 Schedule
Term 2 2016

The following is an outline of the course, which will be updated as
the course progresses. Guides to the topic we will cover in any given
week are only approximate, and these will probably change as the term
progresses.
CLO is Ideals, Varieties, and Algorithms by Cox, Little, O'Shea.
Reid is Undergraduate Commutative Algebra by Reid.
Return to the main module webpage.
Week 
(date of Monday) 
Topics 
Sections 
Homework 
Event 
1 
11/1 
Introduction, Gröbner bases 
CLO Chapter 2 
HW 1 
First class Monday 
2 
18/1 
More Gröbner bases 
CLO Chapter 2 


3 
25/1 
Prime ideal, maximal ideals 
Reid Chapter 1. 
HW 2 
HW 1 due Tuesday 
4 
1/2 
Localization 
Reid, Chapter 6 


5 
8/2 
Modules, CayleyHamilton, Nakayama 
Reid, Chapter 2 
HW 3 
HW 2 due Tuesday Support class in B3.02 this week. 
6 
15/2 
Integral closure
 Reid, Chapter 4 


7 
22/2 
Varieties, Nullstellensatz 
CLO Chapters 1, 4, Reid, Chapter 5 
HW 4 
HW 3 due Tuesday 
8 
29/2 
Nullstellensatz, Primary decomposition 
Reid, Chapter 7
CLO Section 4.7 
HW 5 

9 
7/3 
More primary decomposition 
Reid, Chapter 7
CLO Section 4.7 

HW 4 due Tuesday 
10 
14/3 
Dimension, valuations, DVRs 
Reid, Chapter 8 
HW 6 (not to hand in) 
HW 5 due Thursday 


