{"id":{"repo_id":"cape-town","oai_identifier":"oai:open.uct.ac.za:11427/9963"},"canonical_url":"https://search.dev.ndltd.org/etd/cape-town/oai:open.uct.ac.za:11427/9963","repository":{"repo_id":"cape-town","name":"University of Cape Town","base_url":"https://open.uct.ac.za/oai/request"},"display":{"title":"Studies on the number theory of orders","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.","abstract_html":"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.","abstract_has_math":false,"creators":["Omar, Mohammed Rafiq"],"institution":"Department of Mathematics and Applied Mathematics","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Hughes, Kenneth"],"committee_chairs":[],"committee_members":[],"year":1982,"date_issued":"1982","date_published":"1982","updated_at":"2026-07-22T22:22:44Z","subjects":[],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11427/9963","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Hughes, Kenneth"]},{"key":"dc:creator","label":"Author","values":["Omar, Mohammed Rafiq"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2014-12-11T20:50:33Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2014-12-11T20:50:33Z"]},{"key":"dc:date.issued","label":"Date","values":["1982"]},{"key":"dc:publisher.department","label":"Dc Publisher Department","values":["Department of Mathematics and Applied Mathematics"]},{"key":"dc:publisher.institution","label":"Dc Publisher Institution","values":["University of Cape Town"]},{"key":"dc:type","label":"Dc Type","values":["Master Thesis"]},{"key":"dc:type.qualificationlevel","label":"Dc Type Qualificationlevel","values":["Masters"]},{"key":"dc:type.qualificationname","label":"Dc Type Qualificationname","values":["MA"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/11427/9963"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Bibliography: pages 78-81."]},{"key":"dc:description.abstract","label":"Abstract","values":["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."]},{"key":"dc:title","label":"Title","values":["Studies on the number theory of orders"]}]}],"canonical_facts":{"dc:contributor.advisor":["Hughes, Kenneth"],"dc:creator":["Omar, Mohammed Rafiq"],"dc:date.accessioned":["2014-12-11T20:50:33Z"],"dc:date.available":["2014-12-11T20:50:33Z"],"dc:date.issued":["1982"],"dc:description":["Bibliography: pages 78-81."],"dc:description.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."],"dc:identifier.uri":["http://hdl.handle.net/11427/9963"],"dc:language.iso":["eng"],"dc:publisher.department":["Department of Mathematics and Applied Mathematics"],"dc:publisher.institution":["University of Cape Town"],"dc:title":["Studies on the number theory of orders"],"dc:type":["Master Thesis"],"dc:type.qualificationlevel":["Masters"],"dc:type.qualificationname":["MA"]},"updated_at":"2026-07-22T22:22:44Z"}