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https://hdl.handle.net/2142/86851
Description
Title
Morita Stable Equivalence of Certain Algebras
Author(s)
Selvakumaran, T.V.
Issue Date
2005
Doctoral Committee Chair(s)
Dade, Everett C.
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Language
eng
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.
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