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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