Studies on the number theory of orders

Master Thesis

1982

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http://hdl.handle.net/11427/9963
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thesis_sci_1982_omar_mr.pdf (2.25 MB)
Authors
Omar, Mohammed Rafiq
Supervisors
Hughes, Kenneth
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University of Cape Town

Department
Department of Mathematics and Applied Mathematics
Faculty
Faculty of Science
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Abstract
In the nineteenth century no distinction was drawn between maximal and nonmaximal orders in a numberfield. Most of the work on orders in this period was done by Dedekind and Kronecker. The twentieth century has witnessed a relative neglect of the nonmaximal orders of a numberfield, which are the algebraic analogues of singular curves, although a few texts, for example the one by Borevich and Shafarevich, do discuss arbitrary orders. In this dissertation we attempt to present a connected account of the theory of nonmaximal orders, highlighting some of their important properties.
Description

Bibliography: pages 78-81.

Keywords
Applied Mathematics

Reference:

Omar, M. 1982. Studies on the number theory of orders. University of Cape Town.

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