New examples of four dimensional AS-regular algebras

Author(s)
Caines, Ian
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Massachusetts Institute of Technology. Dept. of Mathematics.
Advisor
Johan de Jong.
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Abstract
This thesis deals with AS-regular algebras, first defined by Michael Artin and William Schelter in Graded Algebras of Global Dimension 3. All such algebras of dimension three have been classified, but the corresponding problem in higher dimensions remains open. We construct new examples of four dimensional AS-regular algebras, and provide some information about their module structure. Results are provided for proving the regularity of such algebras. In addition we classify the AS-regular algebras of dimension four satisfying certain conditions.
Description
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2005.
 
Includes bibliographical references (p. 48-49).
 
Date issued
2005
URI
http://hdl.handle.net/1721.1/31161
Department
Massachusetts Institute of Technology. Department of Mathematics
Publisher
Massachusetts Institute of Technology
Keywords
Mathematics.
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