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.
DOI
https://doi.org/10.57709/22741005
Recommended Citation
Suresh, Arun B., "The Generators, Relations And Type Of The Backelin Semigroup." Thesis, Georgia State University, 2021.
doi: https://doi.org/10.57709/22741005
File Upload Confirmation
1