New examples of four dimensional AS-regular algebras
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2005.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2006
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| Online Access: | http://hdl.handle.net/1721.1/31161 |
| _version_ | 1826209294131920896 |
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| author | Caines, Ian |
| author2 | Johan de Jong. |
| author_facet | Johan de Jong. Caines, Ian |
| author_sort | Caines, Ian |
| collection | MIT |
| description | Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2005. |
| first_indexed | 2024-09-23T14:20:15Z |
| format | Thesis |
| id | mit-1721.1/31161 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T14:20:15Z |
| publishDate | 2006 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/311612019-04-12T09:17:42Z New examples of four dimensional AS-regular algebras Caines, Ian Johan de Jong. Massachusetts Institute of Technology. Dept. of Mathematics. Massachusetts Institute of Technology. Dept. of Mathematics. Mathematics. 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. 2006-02-02T18:54:11Z 2006-02-02T18:54:11Z 2005 2005 Thesis http://hdl.handle.net/1721.1/31161 61208098 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 49 p. 2019440 bytes 2023142 bytes application/pdf application/pdf application/pdf Massachusetts Institute of Technology |
| spellingShingle | Mathematics. Caines, Ian New examples of four dimensional AS-regular algebras |
| title | New examples of four dimensional AS-regular algebras |
| title_full | New examples of four dimensional AS-regular algebras |
| title_fullStr | New examples of four dimensional AS-regular algebras |
| title_full_unstemmed | New examples of four dimensional AS-regular algebras |
| title_short | New examples of four dimensional AS-regular algebras |
| title_sort | new examples of four dimensional as regular algebras |
| topic | Mathematics. |
| url | http://hdl.handle.net/1721.1/31161 |
| work_keys_str_mv | AT cainesian newexamplesoffourdimensionalasregularalgebras |