Project 
Student 

Explain the concept of
equivalent categories [DF Appendix II] 
Connor 
Jacobson radical, Artinian rings
[DF 16.1, Prop. 1 & Thm 3] 

Jacobson radical of path
algebras = ideal generated by arrows [ask me for notes] 

Representations of a group G and
modules over the group ring FG, [DF 18.1] 

Homological algebra, Cohomology,
Ext [DF 17.1] 

Affine algebraic sets and
coordinate rings [DF 15.1, p. 658  ...] 

Projective modules over path algebras [ask me for notes]  
Straightedge and compass
constructions [DF 13.3] 

Transcendental extensions [DF
14.9] 

Every module is contained in an injective module [DF
10.5 Thm 38] 
Dummit and Foote, Abstract Algebra, third
edition, Wiley and Sons. QA162.D85 2004. This is the book I will use most of the time. 
each homework or presentation 
25 % 
Midterm 
25 % 
Section 
Exercise 
Section 
Exercise 

10.4 
17, 1113, 1719, 21, 2325, 27 

10.5 
17, 911, 2022, 27, 28 

11.5 
1, 46, 9, 13, 14 

12.1 
13, 5, 6, 8, 20, 21 

12.2 
5, 7, 14, 18, 19 

12.3 
1, 2, 2123 
