MA 721: Abstract Algebra (Spring 2019)


Instructor:  Tye Lidman
E-mail: tlid 'at' math 'dot' ncsu 'dot' edu
Office: SAS 3246
Office Hours: Tu 2-3PM, W 11-12PM
Course Location: 1220 SAS Hall
Course Time: TuTh 10:15-11:30AM

Course Syllabus

Lectures
Basics on homology and exact sequences (1/8, 1/10)
Modules (1/15)
Free modules and other constructions (1/17)
Projective modules (1/22)
Hom spaces (1/24)
More on Hom spaces (1/29)
Tensor products (1/31)
Tor and group homology (2/5)
Cohomology (2/7)
Finitely-generated modules and Smith normal form (2/12-2/26)
Miscellaneous modules
(2/28)
Artinian and Noetherian rings, primary ideals (3/5, 3/7)
Integral ring extensions
(3/19)
Algebraic geometry (3/21, 3/26)
Multilinear algebra (3/28)
Symmetric and exterior algebras (4/2)
Representations (4/4)
More on representations (4/9, 4/11)
Characters and irreducibles (4/16, 4/18)



Homework
Homework 1 (Due 1/17)
Homework 2 (Due 1/24)
Homework 3 (Due 1/31)
Homework 4 (Due 2/7)
Homework 5 (Due 2/14)
Homework 6 (Due 2/21)
Homework 7 (Due 2/28)
Homework 8 (Due 3/21)
Homework 9 (Due 3/28)
Homework 10 (Due 4/4)
Homework 11 (Due 4/11)
Homework 12 (Due 4/18)
Homework 13 (Due 4/26)