Date of Award
Summer 2019
Document Type
Open Access Thesis
Department
Mathematics
First Advisor
Andrew R. Kustin
Abstract
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.
Rights
© 2019, Hannah Melissa Kimbrell
Recommended Citation
Kimbrell, H. M.(2019). Finding Resolutions of Mononomial Ideals. (Master's thesis). Retrieved from https://scholarcommons.sc.edu/etd/5486