A study of unique factorization in quadratic integral domains Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/2r36v2569

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  • 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.
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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 : Submitted by Alex McFerrin (amscannerosu@gmail.com) on 2014-04-15T16:44:32Z No. of bitstreams: 1 VanEnkevortRonaldL1967_Redacted.pdf: 9567841 bytes, checksum: c3baf36eb7dfe741e74f5a7068b45e7c (MD5)
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  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2014-04-15T19:49:25Z (GMT) No. of bitstreams: 1 VanEnkevortRonaldL1967_Redacted.pdf: 9567841 bytes, checksum: c3baf36eb7dfe741e74f5a7068b45e7c (MD5)
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