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.

Included in

Mathematics Commons

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