The quadratic integral domains Ra[[square root]3] and Ra[[square root]-15]

Graduate Thesis Or Dissertation

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Citeable URL: https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/47429c65z

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Attribute Name	Values
Creator	Waldman, Sue Elaine Hardy
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.
Resource Type	Masters Thesis
Date Available	2014-04-08T20:06:52+00:00
Date Issued	1966-07-18
Degree Level	Master's
Degree Name	Master of Science (M.S.)
Degree Field	Mathematics
Degree Grantor	Oregon State University
Commencement Year	1967
Advisor	Poole, Albert Robert
Academic Affiliation	Mathematics
Non-Academic Affiliation	Oregon State University. Graduate School
Subject	Algebraic fields
Rights Statement	Copyright Not Evaluated
Publisher	Oregon State University
Peer Reviewed	No
Language	English [eng]
Digitization Specifications	File scanned at 300 ppi using Capture Perfect 3.0 on a Canon DR-9050C in PDF format. CVista PdfCompressor 5.0 was used for pdf compression and textual OCR.
Replaces	http://hdl.handle.net/1957/47153
Accessibility Feature	unknown

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