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On Algebraic Numbers and Quadratic Extensions
KTH, School of Engineering Sciences (SCI).
2013 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]


In this thesis some basic properties of algebraic el-

ements, integral elements and extensions of rings and elds are

investigated. Special focus is given to quadratic extensions. It is

assumed that the reader is familiar with some elementary concepts

from abstract algebra, such as the denitions of rings and elds.

The rst section covers the basics of algebraic elements and in-

tegral elements and serves as a foundation for the rest of the thesis.

In section two and three some theory of Unique Factorization Do-

mains and Euclidean Domains is developed. The concepts and

results from these two sections are used in section four and ve,

which treat Quadratic Extensions and certain Ring Extensions of

the integers.

Place, publisher, year, edition, pages
2013. , 20 p.
National Category
Engineering and Technology
URN: urn:nbn:se:kth:diva-128568OAI: diva2:648134
Available from: 2013-09-13 Created: 2013-09-13 Last updated: 2013-09-13Bibliographically approved

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