Date of Award
2005
Document Type
Project
Degree Name
Master of Arts in Mathematics
Department
Mathematics
Abstract
This paper defines generalized binomial coefficients and shows that they can be used to generate generalized Pascal's Triangles and have properties analogous to binomial coefficients. It uses the generalized binomial coefficients to compute the Dilworth number and the Sperner number of certain rings.
Recommended Citation
Riderer, Lucia, "Numbers of generators of ideals in local rings and a generalized Pascal's Triangle" (2005). Theses Digitization Project. 2732.
https://scholarworks.lib.csusb.edu/etd-project/2732
