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

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/47429c65z

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  • 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.
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  • 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.
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  • description.provenance : Rejected by Katy Davis(kdscannerosu@gmail.com), reason: replace on 2014-04-08T18:53:48Z (GMT)
  • description.provenance : Approved for entry into archive by Katy Davis(kdscannerosu@gmail.com) on 2014-04-08T19:01:30Z (GMT) No. of bitstreams: 1 WaldmanSueElaineH1967_Redacted.pdf: 828434 bytes, checksum: dab968bfb072257bf633aded1d5012e7 (MD5)
  • description.provenance : Submitted by Alex McFerrin (amscannerosu@gmail.com) on 2014-04-03T20:33:08Z No. of bitstreams: 1 WaldermanSueElaineH1967_Redacted.pdf: 828434 bytes, checksum: dab968bfb072257bf633aded1d5012e7 (MD5)
  • description.provenance : Submitted by Alex McFerrin (amscannerosu@gmail.com) on 2014-04-08T18:57:30Z No. of bitstreams: 1 WaldmanSueElaineH1967_Redacted.pdf: 828434 bytes, checksum: dab968bfb072257bf633aded1d5012e7 (MD5)
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2014-04-08T20:06:51Z (GMT) No. of bitstreams: 1 WaldmanSueElaineH1967_Redacted.pdf: 828434 bytes, checksum: dab968bfb072257bf633aded1d5012e7 (MD5)
  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2014-04-03T21:15:10Z (GMT) No. of bitstreams: 1 WaldermanSueElaineH1967_Redacted.pdf: 828434 bytes, checksum: dab968bfb072257bf633aded1d5012e7 (MD5)
  • description.provenance : Made available in DSpace on 2014-04-08T20:06:52Z (GMT). No. of bitstreams: 1 WaldmanSueElaineH1967_Redacted.pdf: 828434 bytes, checksum: dab968bfb072257bf633aded1d5012e7 (MD5) Previous issue date: 1966-07-18

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