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Download or read book A Study of Unique Factorization in Quadratic Integral Domains written by Ronald Lee Van Enkevort and published by . This book was released on 1967 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.