{"id":{"repo_id":"bielefeld","oai_identifier":"oai:pub.uni-bielefeld.de:2302435"},"canonical_url":"https://search.dev.ndltd.org/etd/bielefeld/oai:pub.uni-bielefeld.de:2302435","repository":{"repo_id":"bielefeld","name":"Universität Bielefeld","base_url":"https://pub.uni-bielefeld.de/oai"},"display":{"title":"Infinite Gabriel-Roiter measures for the 3-Kronecker quiver","abstract":"In this thesis we will use indecomposable representations of the 3-Kronecker quiver to construct uncountably many infinite Gabriel-Roiter measures. Our aim is to classify all piling submodules of an indecomposable regular module. We will show that they are either unique of a certain length or there is a one-parameter family of such submodules. A possible largest Gabriel-Roiter measure in the central part is discussed.","abstract_html":"In this thesis we will use indecomposable representations of the 3-Kronecker quiver to construct uncountably many infinite Gabriel-Roiter measures. Our aim is to classify all piling submodules of an indecomposable regular module. We will show that they are either unique of a certain length or there is a one-parameter family of such submodules. A possible largest Gabriel-Roiter measure in the central part is discussed.","abstract_has_math":false,"creators":["Fahr, Philipp"],"institution":"Universität Bielefeld","degree_name":null,"degree_level":"thesis.doctoral","degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2008,"date_issued":"2008-03-30","date_published":"2008-03-30","updated_at":"2026-07-27T18:49:55Z","subjects":[],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://pub.uni-bielefeld.de/record/2302435","outbound_label":"Repository record","outbound_source":"source_url"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Fahr, Philipp"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:publisher","label":"Institution","values":["Universitätsbibliothek Bielefeld"]},{"key":"dc:type","label":"Dc Type","values":["doctoralThesis"]},{"key":"thesis:degree_level","label":"Degree Level","values":["thesis.doctoral"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Universität Bielefeld"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["In this thesis we will use indecomposable representations of the 3-Kronecker quiver to construct uncountably many infinite Gabriel-Roiter measures. Our aim is to classify all piling submodules of an indecomposable regular module. We will show that they are either unique of a certain length or there is a one-parameter family of such submodules. A possible largest Gabriel-Roiter measure in the central part is discussed."]},{"key":"dc:format.medium","label":"Dc Format Medium","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Infinite Gabriel-Roiter measures for the 3-Kronecker quiver"]}]}],"canonical_facts":{"dc:creator":["Fahr, Philipp"],"dc:description.abstract":["In this thesis we will use indecomposable representations of the 3-Kronecker quiver to construct uncountably many infinite Gabriel-Roiter measures. Our aim is to classify all piling submodules of an indecomposable regular module. We will show that they are either unique of a certain length or there is a one-parameter family of such submodules. A possible largest Gabriel-Roiter measure in the central part is discussed."],"dc:format.medium":["application/pdf"],"dc:publisher":["Universitätsbibliothek Bielefeld"],"dc:title":["Infinite Gabriel-Roiter measures for the 3-Kronecker quiver"],"dc:type":["doctoralThesis"],"thesis:degree_level":["thesis.doctoral"],"thesis:institution_name":["Universität Bielefeld"]},"updated_at":"2026-07-27T18:49:55Z"}