{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/71246"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/71246","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"On Descent in Dimension Two and Non-Split Gorenstein Modules (Algebra, Commutative)","abstract":"We show that the question of the decomposition of Gorenstein modules over normal domains can be reduced to the same question over normal domains of low dimension (that is, dimension four or less).","abstract_html":"We show that the question of the decomposition of Gorenstein modules over normal domains can be reduced to the same question over normal domains of low dimension (that is, dimension four or less).","abstract_has_math":false,"creators":["Weston, Dana Temer"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Mathematics","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014-12-16T06:18:16Z","date_published":"2014-12-16T06:18:16Z","updated_at":"2026-07-22T22:26:04Z","subjects":["Mathematics"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(UMI)AAI8701651"],"render_values":[{"text":"(UMI)AAI8701651","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/71246","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Weston, Dana Temer"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2014-12-16T06:18:16Z","10000-01-01","1986"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Mathematics"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/71246","(UMI)AAI8701651"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["We show that the question of the decomposition of Gorenstein modules over normal domains can be reduced to the same question over normal domains of low dimension (that is, dimension four or less).","It is proven that q copies of a finitely generated, torsion free module over a normal domain with Krull dimension two descend, if the order of the module in the divisor class group of the ring divides q.","Finally, we give an example of a ring with Gorenstein formal fibres, but with no dualizing complex.","Made available in DSpace on 2014-12-16T06:18:16Z (GMT). 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