A Non-commutative Version of Polynomial Rings

Authors

Thomas Cassidy, Department of Mathematics, University of Oregon and Algebra candidate for Position 3

Document Type

Presentation Abstract

Presentation Date

3-26-1999

Abstract

The Artin-Schelter regular (AS regular) algebras are the non-commutative analog to the polynomial ring k[x₁,...,x_i] over a field k. Because AS regular algebras exhibit many of the same features as their commutative cousin, they are a good starting place for non-commutative algebraic geometry. The classification of the 3-dimensional AS regular algebras has been the inspiration for much interesting mathematics. This talk will focus on a few examples to illustrate how a large family of 4-dimensional AS regular algebras has now been classified.

Additional Details

Friday, 26 March 1999
4:10 p.m. in MA 109
Coffee/Tea/Treats 3:30 p.m. in MA 104 (Lounge)

Recommended Citation

Cassidy, Thomas, "A Non-commutative Version of Polynomial Rings" (1999). Colloquia of the Department of Mathematical Sciences. 41.
https://scholarworks.umt.edu/mathcolloquia/41