| dc.contributor.author | Hasenauer, Richard Erwin | |
| dc.description.abstract | The 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. | en_US |
| dc.publisher | North Dakota State University | en_US |
| dc.rights | NDSU Policy 190.6.2 | |
| dc.title | Almost Dedekind Domains and Atomicity | en_US |
| dc.type | Dissertation | en_US |
| dc.date.accessioned | 2017-10-24T18:53:49Z | |
| dc.date.available | 2017-10-24T18:53:49Z | |
| dc.date.issued | 2012 | |
| dc.identifier.uri | https://hdl.handle.net/10365/26692 | |
| dc.subject.lcsh | Algebra | en_US |
| dc.subject.lcsh | Communitive | en_US |
| dc.subject.lcsh | Dedekind | en_US |
| dc.subject.lcsh | Factorization | en_US |
| dc.rights.uri | https://www.ndsu.edu/fileadmin/policy/190.pdf | |
| ndsu.degree | Doctor of Philosophy (PhD) | en_US |
| ndsu.college | Science and Mathematics | en_US |
| ndsu.department | Mathematics | en_US |
| ndsu.program | Mathematics | en_US |
| ndsu.advisor | Coykendall, Jim | |
