Record Details
The quadratic integral domains Ra[[square root]3] and Ra[[square root]-15]
ScholarsArchive at Oregon State University
| Field | Value |
|---|---|
| Title | The quadratic integral domains Ra[[square root]3] and Ra[[square root]-15] |
| Names |
Waldman, Sue Elaine Hardy
(creator) Poole, Albert Robert (advisor) |
| Date Issued | 1966-07-18 (iso8601) |
| Note | Graduation date: 1967 |
| Abstract | This paper is the record of an exploration of two quadratic number fields. The first section is devoted to the field with elements of the form a +b√3 where a and b are rational numbers. This field contains an integral domain in which unique factorization holds. The second section is concerned with a field having an integral domain in which the unique factorization theorem does not hold; therefore ideals are introduced to restore this property. The elements of this field are of the form a +b √-l5 where a and b are rational numbers. |
| Genre | Thesis/Dissertation |
| Topic | Algebraic fields |
| Identifier | http://hdl.handle.net/1957/47153 |
