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Description
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 |
This item appears in the following Collection(s)
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Dissertations and Theses - Mathematics
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Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois