{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/86851"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/86851","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Morita Stable Equivalence of Certain Algebras","abstract":"M. Auslander's conjecture asks if stably equivalent Artin algebras have the same number of isomorphism classes of non-projective, simple modules. We assume that the algebras are finite-dimensional and split over a field, and that the stable equivalence is a Morita stable equivalence. We show that Auslander's conjecture holds for such algebras of Loewy length at most 3. This extends earlier works of R. Martinez Villa and of T. Aiping for Morita stable equivalences.","abstract_html":"M. Auslander's conjecture asks if stably equivalent Artin algebras have the same number of isomorphism classes of non-projective, simple modules. We assume that the algebras are finite-dimensional and split over a field, and that the stable equivalence is a Morita stable equivalence. We show that Auslander's conjecture holds for such algebras of Loewy length at most 3. This extends earlier works of R. Martinez Villa and of T. Aiping for Morita stable equivalences.","abstract_has_math":false,"creators":["Selvakumaran, T.V."],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Mathematics","degree_department":null,"school":null,"contributors":["Dade, Everett C."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-28T15:19:51Z","date_published":"2015-09-28T15:19:51Z","updated_at":"2026-07-22T22:26:28Z","subjects":["Mathematics"],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(MiAaPQ)AAI3182375"],"render_values":[{"text":"(MiAaPQ)AAI3182375","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/86851","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Dade, Everett C."]},{"key":"dc:creator","label":"Author","values":["Selvakumaran, T.V."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-28T15:19:51Z","10000-01-01","2005"]},{"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":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/86851","(MiAaPQ)AAI3182375"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["M. Auslander's conjecture asks if stably equivalent Artin algebras have the same number of isomorphism classes of non-projective, simple modules. We assume that the algebras are finite-dimensional and split over a field, and that the stable equivalence is a Morita stable equivalence. We show that Auslander's conjecture holds for such algebras of Loewy length at most 3. This extends earlier works of R. Martinez Villa and of T. Aiping for Morita stable equivalences.","Made available in DSpace on 2015-09-28T15:19:51Z (GMT). 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We assume that the algebras are finite-dimensional and split over a field, and that the stable equivalence is a Morita stable equivalence. We show that Auslander's conjecture holds for such algebras of Loewy length at most 3. This extends earlier works of R. Martinez Villa and of T. Aiping for Morita stable equivalences.","Made available in DSpace on 2015-09-28T15:19:51Z (GMT). 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