A study of unique factorization in quadratic integral domains

Graduate Thesis Or Dissertation

Público Deposited

Baixar PDF

Citeable URL: https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/2r36v2569

Descriptions

Attribute Name	Values
Creator	Van Enkevort, Ronald Lee
Abstract	This thesis studies the question of unique factorization in quadratic integral domains. In the first chapter many general theorems and definitions from algebraic number theory are introduced. The second chapter considers an integral domain in which unique factorization holds. The necessary theorems to prove unique factorization are developed. The third chapter concerns an integral domain in which unique factorization fails. That it fails is proved and then ideals are introduced to indicate how unique factorization would be restored in terms of ideals.
Resource Type	Masters Thesis
Date Available	2014-04-15T19:49:25+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 Factors (Algebra)
Declaração de direitos	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/1957/47346

Parents:

This work has no parents.

Em Collection:

Miniatura	Título	Data de carga	Acesso	Ações
	VanEnkevortRonaldL1967_Redacted.pdf	2017-08-23	Público	Baixar