Math 571 Winter 2005
Brief description of the course:
The category of R-modules; chain conditions, tensor products, flat,
projective and injective modules.
Basic commutative algebra; prime ideals and localization, Hilbert
Nullstellensatz, integral extensions.
Dedekind domains. Galois theory, separable and regular extensions.
Representations of finite groups.
In most cases I will try to be close to the following books:
1) T. Hungerford "Algebra", Graduate Texts in
Math., Springer-Verlag;
2) S. Lang "Algebra", Addison-Wesley.
Method of evaluation: Total
grade = max{0.15Ass +0.20 Mid + 0.65Fin, Fin},
where Ass, Mid, and Fin are grades for the assignments, the midterm, and the
final, correspondingly.
Classes:
Monday, 2:35-4:20,
Room 920, Burnside Hall.
Wednesday, 2:30-3:25, Room
920, Burnside Hall.
Office hours: Monday, Wednesday,
1:40-2:30, Room 915, Burnside
Hall.
Helping with the course:
Thorsten Camps, Office 1019, email: camps@math.mcgill.ca
Denis Serbin, Office 1248, email: serbin@math.mcgill.ca
Assignment 1 [ass1.pdf
] Solutions [ sol.pdf ] Provided by D.Serbin
Assignment 2 [ ass2.pdf ]
Solutions [ sol2.pdf ] Provided
by T.Camps
Assignment 3 [
ass3.pdf ] Solutions
[ sol3.pdf ] Provided by
D.Serbin
Midterm, Thursday, February 17, 5:30 - 8:00,
Room 920, Burnside.
Reading for the midterm: Chapter III and Chapter IV,
Sections: 1,2,3.
Assignment 4 [ass4.pdf ] Solutions [
sol4.pdf ] Provided by D.Serbin
Assignment 5 [ass5.pdf ] Solutions [
sol5.pdf ] Provided by D.Serbin
Assignment 6 [ass6.pdf ] Solutions [
sol6.pdf ] Provided by D.Serbin
Assignment 7 [ass7.pdf ] Solutions [ sol7.pdf
] Provided by D.Serbin