Hasenauer, Richard Erwin2017-10-242017-10-242012https://hdl.handle.net/10365/26692The objective of this dissertation was to determine the class of domains that are both almost Dedekind and atomic. To investigate this question we constructed a global object called the norm, and used it to determine properties that a domain must have to be both atomic and almost Dedekind. Additionally we use topological notions on the spectrum of a domain to determine atomicity. We state some theorems with regard to ACCP and class groups. The lemmas and theorems in this dissertation answer in part the objective. We conclude with a chapter of future study that aims to approach a complete answer to the objective.NDSU Policy 190.6.2https://www.ndsu.edu/fileadmin/policy/190.pdfAlgebraCommunitiveDedekindFactorizationAlmost Dedekind Domains and AtomicityDissertation