New examples of four dimensional AS-regular algebras

New examples of four dimensional AS-regular algebras

Author: Caines, Ian

Citable URI: http://hdl.handle.net/1721.1/31161

Other Contributors: Massachusetts Institute of Technology. Dept. of Mathematics.

Advisor: Johan de Jong.

Department: Massachusetts Institute of Technology. Dept. of Mathematics.

Publisher: Massachusetts Institute of Technology

Date Issued: 2005

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).

URI: http://hdl.handle.net/1721.1/31161

Keywords: Mathematics.

Show full item metadata