Date of Award
Open Access Thesis
Andrew R. Kustin
In this paper we present two different combinatorial approaches to finding resolutions of polynomial ideals. Their goal is to get resolutions that are as small as possible while still preserving the structure of the zeroth syzygy module. Then we present the idea of a differential graded algebra and discuss when the minimal resolutions of a polynomial ideals admits such a structure.
Kimbrell, H. M.(2019). Finding Resolutions of Mononomial Ideals. (Master's thesis). Retrieved from https://scholarcommons.sc.edu/etd/5486