A Classification of some Quadratic Algebras

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...

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Bibliographic Details
Main Author: McGilvray, H. C. Jr.
Other Authors: Mathematics
Format: Others
Published: Virginia Tech 2014
Subjects:
Online Access:http://hdl.handle.net/10919/30699
http://scholar.lib.vt.edu/theses/available/etd-7598-162247/