Other recommended texts:
Algebra, Thomas Hungerford, GTM
73, Springer.
Algebra, Serge Lang, Addison
Wesley.
Basic Algebra I, Nathan
Jacobson, Freeman.
Instructor: Dr. D. Haskell, HH316, ext.27244
Course meeting time: TWF 9:30  10:20
Email: haskell@math.mcmaster.ca
Office hours: M 13:0014:00, W, F 11:0012:00
Course requirements, in brief (consult the course information
sheet for more detailed information).
Homework: 70%
Takehome Final: 30%
ANNOUNCEMENTS
The course is meeting in HH410 from now on.
Homework 10, due before December 17.
Homework
10 pdf file
Planned course schedule (subject to revision):
readings and problems refer to the textbook by Dummit and Foote, except
where otherwise noted.
Dates 
Topics  Reading 
Sept 610 Week 0 
Introduction;
review definitions of groups, rings, modules 
Chapter 1, 7.1, 7.2, 10.1 
Sept 1317 Week 1 
Examples, substructures. Homomorphisms, structure of kernels, quotient structures,  Chapter 2 Chapter 3, 7.3, 10.2 
Sept 2024 Week 2 
Isomorphism theorems. Generators, universal properties of free structures  2.4, 6.3, 7.4, 10.3 
Sept 27 Oct 1 Week 3 
More advanced theory: rings properties of ideal, rings of fractions, chinese remainder theorem 
7.4, 7.5, 7.6 
Oct 48 Week 4 
more on rings euclidean domains, principal ideal domains, unique factorisation domains 
Chapter 8 
Oct 1115 Week 5 
Polynomial rings 
Chapter 9 
Oct 1822 Week 6 
More advanced theory: modules modules over a field (= vector space) 
10.4, 11.1, 11.2 
Oct 2529 Week 7 
more on modules structure theory of module over a PID, application to fg abelian groups 
Chapter 12 
Nov 15 Week 8 
More advanced theory: groups Sylow theorems, semidirect products 
4.5, 5.5 
Nov 812 Week 9 
more on groups composition series, pgroups, nilpotent and solvable groups 
6.1 
Nov 1519 Week 10 
commutative algebra 
Chapter 15 
Nov 2226 Week 11 
Chapter 16 

Nov 29Dec 3 Week 12 