Date of Award
Master of Science (MS)
Mathematics and Statistics
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.
Suresh, Arun B., "The Generators, Relations And Type Of The Backelin Semigroup." Thesis, Georgia State University, 2021.
File Upload Confirmation
Available for download on Sunday, May 01, 2022