Date of Award
Master of Arts in Mathematics
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.
Riderer, Lucia, "Numbers of generators of ideals in local rings and a generalized Pascal's Triangle" (2005). Theses Digitization Project. 2732.