MATH 6330
Noncommutative Algebra
An introduction to the theory of noncommutative rings and modules. Topics vary by semester and include semisimple modules and rings, the Jacobson radical and Artinian rings, group representations and group algebras, characters of finite groups, representations of the symmetric group, central simple algebras and the Brauer group, representation theory of finite-dimensional algebras, and Morita theory.
fall 2026
Readings
- (optional) Pierce, Richard S., Associative Algebras , Springer, 2012 (ISBN: 978-1-4757-0165-4) — free e-book through the Cornell Math Library
- (optional) Farb and Dennis, Noncommutative Algebra , Springer, 1993 (ISBN: 0-387-94057-X) — free e-book through the Cornell Math Library
- (optional) Rowen, Louis Halle, Graduate Algebra: Noncommutative View , American Mathematical Society, 2008 (ISBN: 978-0-8218-4153-2) — free e-book through the Cornell Math Library
- (optional) Lam, T. Y., A First Course in Noncommutative Rings, 2nd edition , Springer, 2001 (ISBN: 978-0-387-95183-6) — free e-book through the Cornell Math Library
Prerequisites & course information
MATH 6310 and MATH 6320; or permission of instructor.