{"id":{"repo_id":"south-carolina","oai_identifier":"oai:scholarcommons.sc.edu:etd-1387"},"canonical_url":"https://search.dev.ndltd.org/etd/south-carolina/oai:scholarcommons.sc.edu:etd-1387","repository":{"repo_id":"south-carolina","name":"University of South Carolina","base_url":"https://scholarcommons.sc.edu/do/oai/"},"display":{"title":"On Gorenstein Rings and G-Dimension","abstract":"<p>Gorenstein rings are presented and characterized, and the concept of Gorenstein dimension, which parallels projective dimension for modules and rings, is introduced.</p>","abstract_html":"&lt;p&gt;Gorenstein rings are presented and characterized, and the concept of Gorenstein dimension, which parallels projective dimension for modules and rings, is introduced.&lt;/p&gt;","abstract_has_math":false,"creators":["Park, Ada Michelle"],"institution":null,"degree_name":"M.A.","degree_level":"Campus Access Thesis","degree_discipline":"Mathematics","degree_department":null,"school":null,"contributors":["Adela Vraciu"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2010,"date_issued":"2010-01-01T08:00:00Z","date_published":"2010-01-01T08:00:00Z","updated_at":"2026-07-24T04:36:56Z","subjects":["Mathematics","Physical Sciences and Mathematics","Algebra","Dimension","Gorenstein","Rings"],"languages":[],"rights":["© 2010, Ada Michelle Park"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://scholarcommons.sc.edu/etd/386","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Adela Vraciu"]},{"key":"dc:creator","label":"Author","values":["Park, Ada Michelle"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Campus Access Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.A."]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Mathematics","Physical Sciences and Mathematics","Algebra","Dimension","Gorenstein","Rings"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:rights","label":"Dc Rights","values":["© 2010, Ada Michelle Park"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://scholarcommons.sc.edu/etd/386"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["<p>Gorenstein rings are presented and characterized, and the concept of Gorenstein dimension, which parallels projective dimension for modules and rings, is introduced.</p>"]},{"key":"dc:title","label":"Title","values":["On Gorenstein Rings and G-Dimension"]}]}],"canonical_facts":{"dc:contributor":["Adela Vraciu"],"dc:creator":["Park, Ada Michelle"],"dc:description.abstract":["<p>Gorenstein rings are presented and characterized, and the concept of Gorenstein dimension, which parallels projective dimension for modules and rings, is introduced.</p>"],"dc:identifier":["https://scholarcommons.sc.edu/etd/386"],"dc:rights":["© 2010, Ada Michelle Park"],"dc:subject":["Mathematics","Physical Sciences and Mathematics","Algebra","Dimension","Gorenstein","Rings"],"dc:title":["On Gorenstein Rings and G-Dimension"],"thesis:degree_discipline":["Mathematics"],"thesis:degree_level":["Campus Access Thesis"],"thesis:degree_name":["M.A."]},"updated_at":"2026-07-24T04:36:56Z"}