Studies on the number theory of orders

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.

Grantor dc:publisher.institution

Department of Mathematics and Applied Mathematics

Year dc:date.issued

1982

Author dc:creator

• Omar, Mohammed Rafiq

Advisor dc:contributor.advisor

• Hughes, Kenneth

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/11427/9963

OAI identifier oai:identifier

oai:open.uct.ac.za:11427/9963