Date of Award
2006
Document Type
Thesis
Degree Name
Master of Arts in Mathematics
Department
Mathematics
First Advisor
Fischman, Davida
Second Advisor
Griffing, Gary
Third Advisor
Sarli, John
Abstract
The Nichols-Zoeller freeness theorem states that a finite dimensional Hopf algebra is free as a module over any subHopfalgebra. We will prove this theorem, as well as the first significant generalization of this theorem, which was proven three years later. This generalization says that if the Hopf algebra is infinite dimensional, then the Hopf algebra is still free if the subHopfalgebra is finite dimensional and semisimple . We will also look at several other significant generalizations that have since been proven.
Recommended Citation
Walker, Christopher David, "Freeness of Hopf algebras" (2006). Theses Digitization Project. 3496.
https://scholarworks.lib.csusb.edu/etd-project/3496
