{"id":{"repo_id":"mo-state","oai_identifier":"oai:bearworks.missouristate.edu:theses-1864"},"canonical_url":"https://search.dev.ndltd.org/etd/mo-state/oai:bearworks.missouristate.edu:theses-1864","repository":{"repo_id":"mo-state","name":"Missouri State University","base_url":"https://bearworks.missouristate.edu/do/oai/"},"display":{"title":"A Projective Geometry as a Lattice","abstract":"PROBLEM: Lattice theory and projective geometry are two seemingly unrelated branches of mathematics. With the proper approach a projective geometry can be shown to be a lattice.<br>PROCEDURE: A lattice is developed using two different approaches and group theory is introduced. Next the relationship between projective and affine geometry is investigated. Finally, the projective geometry 7₃ is shown to be a lattice. <br>SUMMARY: Showing that a projective geometry is a lattice was accomplished in two ways. It was illustrated that with the proper definitions a projective geometry can be shown to be a lattice directly or it can be shown to be a group which is then shown to be a lattice.","abstract_html":"PROBLEM: Lattice theory and projective geometry are two seemingly unrelated branches of mathematics. With the proper approach a projective geometry can be shown to be a lattice.&lt;br&gt;PROCEDURE: A lattice is developed using two different approaches and group theory is introduced. Next the relationship between projective and affine geometry is investigated. Finally, the projective geometry 7₃ is shown to be a lattice. &lt;br&gt;SUMMARY: Showing that a projective geometry is a lattice was accomplished in two ways. It was illustrated that with the proper definitions a projective geometry can be shown to be a lattice directly or it can be shown to be a group which is then shown to be a lattice.","abstract_has_math":false,"creators":["Huechteman, E. Duane"],"institution":null,"degree_name":"Master of Science in Mathematics","degree_level":"Masters","degree_discipline":"Mathematics","degree_department":null,"school":null,"contributors":["Frank Gillespie"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1976,"date_issued":"1976-07-01T07:00:00Z","date_published":"1976-07-01T07:00:00Z","updated_at":"2026-07-24T03:15:54Z","subjects":["Mathematics"],"languages":[],"rights":["© E. Duane Huechteman"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://bearworks.missouristate.edu/theses/863","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Frank Gillespie"]},{"key":"dc:creator","label":"Author","values":["Huechteman, E. Duane"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Masters"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science in Mathematics"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Mathematics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:rights","label":"Dc Rights","values":["© E. Duane Huechteman"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://bearworks.missouristate.edu/theses/863"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["PROBLEM: Lattice theory and projective geometry are two seemingly unrelated branches of mathematics. With the proper approach a projective geometry can be shown to be a lattice.<br>PROCEDURE: A lattice is developed using two different approaches and group theory is introduced. Next the relationship between projective and affine geometry is investigated. Finally, the projective geometry 7₃ is shown to be a lattice. <br>SUMMARY: Showing that a projective geometry is a lattice was accomplished in two ways. It was illustrated that with the proper definitions a projective geometry can be shown to be a lattice directly or it can be shown to be a group which is then shown to be a lattice."]},{"key":"dc:title","label":"Title","values":["A Projective Geometry as a Lattice"]}]}],"canonical_facts":{"dc:contributor":["Frank Gillespie"],"dc:creator":["Huechteman, E. Duane"],"dc:description.abstract":["PROBLEM: Lattice theory and projective geometry are two seemingly unrelated branches of mathematics. With the proper approach a projective geometry can be shown to be a lattice.<br>PROCEDURE: A lattice is developed using two different approaches and group theory is introduced. Next the relationship between projective and affine geometry is investigated. Finally, the projective geometry 7₃ is shown to be a lattice. <br>SUMMARY: Showing that a projective geometry is a lattice was accomplished in two ways. It was illustrated that with the proper definitions a projective geometry can be shown to be a lattice directly or it can be shown to be a group which is then shown to be a lattice."],"dc:identifier":["https://bearworks.missouristate.edu/theses/863"],"dc:rights":["© E. Duane Huechteman"],"dc:subject":["Mathematics"],"dc:title":["A Projective Geometry as a Lattice"],"thesis:degree_discipline":["Mathematics"],"thesis:degree_level":["Masters"],"thesis:degree_name":["Master of Science in Mathematics"]},"updated_at":"2026-07-24T03:15:54Z"}