Title page for ETD etd-7598-162247


Type of Document Dissertation
Author McGilvray, H. C. Jr.
Author's Email Address mcgilvra@math.vt.edu
URN etd-7598-162247
Title A Classification of some Quadratic Algebras
Degree PhD
Department Mathematics
Advisory Committee
Advisor Name Title
Ball, Joseph A.
Linnell, Peter A.
McCoy, Robert A.
Olin, Robert F.
Yin, Ray
Green, Edward L. Committee Chair
Keywords
  • Koszul algebra
  • quadratic algebra
  • monomial generators
Date of Defense 1998-07-02
Availability unrestricted
Abstract
In this paper, for a select group of quadratic algebras, we

investigate restrictions necessary on the generators of the ideal for

the resulting algebra to be Koszul. Techniques include the use of

Grobner bases and development of Koszul resolutions. When the

quadratic algebra is Koszul, we provide the associated linear

resolution of the field. When not Koszul, we describe the maps of

the resolution up to the instance of nonlinearity.

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