Morita Stable Equivalence of Certain Algebras

111 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 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.U of I OnlyRestricted to the U of I community idenfinitely during batch ingest of legacy ETD