2026-09-18T20:31:11Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/311612022-01-13T07:54:35Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
Johan de Jong.
Caines, Ian
Massachusetts Institute of Technology. Dept. of Mathematics.
Massachusetts Institute of Technology. Department of Mathematics
2006-02-02T18:54:11Z
2006-02-02T18:54:11Z
2005
2005
http://hdl.handle.net/1721.1/31161
61208098
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2005.
Includes bibliographical references (p. 48-49).
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.
by Ian Caines.
Ph.D.
49 p.
2019440 bytes
2023142 bytes
application/pdf
application/pdf
eng
Massachusetts Institute of Technology
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http://dspace.mit.edu/handle/1721.1/7582
Mathematics.
New examples of four dimensional AS-regular algebras
Thesis
application/pdf
Publication
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unknown
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