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A study of factorization in the integral domains Ra[[square root]-2] and Ra[[square root]-31]

Creator:

Plotner, Nancy Darlene

Resource Type:

Masters Thesis

Full Text:

exists a rational integer m without a repeated prime factor such that Ra(p) = Ra(Nrm). Assume that p
A study of factorization in I ([square root]-7) and I ([square root]-23)

Creator:

Knobel, Roger Arlie

Resource Type:

Masters Thesis

Full Text:

= = ± 1. Definition 2. 43: Associates in I{\T-7) are quadratic integers which differ by a unit factor
A study of factorization in Ra([square root]6) and Ra([square root]-21)

Creator:

Massey, Dale Morrell

Abstract:

Various properties of the integers in two quadratic number fields will be examined. Among these will be the property of unique prime factorization. When unique prime factorization breaks down, as will be the case in one of the quadratic number fields, the concept of ideal numbers will be introduced. unique...

Resource Type:

Masters Thesis

Full Text:

theory and algebra such as: 1. 1 Every composite rational integer has a unique factorization into a
A study of unique factorization in quadratic integral domains

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...

Resource Type:

Masters Thesis

Full Text:

Factorization 42 G. The Algebra of Ideals 42 H. Restoration of Unique Factorization 52 BIBLIOGRAPHY 55 A