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Title:Morita Stable Equivalence of Certain Algebras
Author(s):Selvakumaran, T. V.
Doctoral Committee Chair(s):Dade, Everett C.
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
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.
Issue Date:2005
Type:Text
Language:English
Description:111 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2005.
URI:http://hdl.handle.net/2142/86851
Other Identifier(s):(MiAaPQ)AAI3182375
Date Available in IDEALS:2015-09-28
Date Deposited:2005


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