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oai:www.ideals.illinois.edu:2142/86851 2023-07-11 col_2142_5131 col_2142_16340 com_2142_5130 com_2142_16339 com_2142_8903

Dade, Everett C. Selvakumaran, T.V. 2015-09-28T15:19:51Z 2015-09-28T15:19:51Z 10000-01-01 2005 2005 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). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3182375.pdf: 3778159 bytes, checksum: 8cc93d40e48070b0d523e5bb708ae809 (MD5) Previous issue date: 2005 Embargo set by: Seth Robbins for item 88132 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 111 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2005. http://hdl.handle.net/2142/86851 (MiAaPQ)AAI3182375 eng Mathematics Morita Stable Equivalence of Certain Algebras text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.