Index Catalog // ScholarsArchive@OSU

Start Over

Filtering by: Advisor Poole, Albert Robert

Quadratic integral domains in Ra(square root 5) and Ra (square root -13)

Creator:

Hackert, Adelbert Frederick

Abstract:

Some of the properties of the numbers of two quadratic number fields are explored. Among these properties is the existence of unique prime factorization of the integers of the field and the importance of the concept of ideal numbers in restoring unique factorization when it does not exist. Some consideration...

Resource Type:

Masters Thesis
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
The quadratic integral domains Ra[[square root]3] and Ra[[square root]-15]

Creator:

Waldman, Sue Elaine Hardy

Abstract:

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...

Resource Type:

Masters Thesis
Quaternions and their history

Creator:

Birdsall, Leslie Howard

Resource Type:

Masters Thesis