Researcher ORCID Identifier

https://orcid.org/0000-0002-6517-2722

Graduation Year

2021

Document Type

Open Access Senior Thesis

Degree Name

Bachelor of Science

Department

Mathematics

Reader 1

Mohamed Omar

Reader 2

David Milan

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© 2021AriaETBeaupre

Abstract

Let S be the semigroup constructed from a one-sided shift of finite type. In this thesis, we will provide the construction of H(S), the inverse hull of S, explore the properties of H(S), and begin to characterize the structure of H(S). We will also focus on a kind of one-sided shift of finite type, Markov shifts, and prove an invariant on isomorphic inverse hulls of Markov shifts.

Included in

Algebra Commons

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