Date of Award

5-13-2021

Degree Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics and Statistics

First Advisor

Florian Enescu

Abstract

We present an explicit minimal set of generators for the defining ideal of the family of Backelin semigroups, introduced first by Froberg et. al, and find its Betti numbers. In particular, we compute the type of the semigroup as well, correcting a claim in the literature. Additionally, we show that the Betti numbers of the associated numerical semigroup ring coincide to those of its tangent cone.

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