A Classification of some Quadratic Algebras

dc.contributor.authorMcGilvray, H. C. Jr.en
dc.contributor.committeechairGreen, Edward L.en
dc.contributor.committeememberBall, Joseph A.en
dc.contributor.committeememberLinnell, Peter A.en
dc.contributor.committeememberMcCoy, Robert A.en
dc.contributor.committeememberOlin, Robert F.en
dc.contributor.committeememberYin, Rayen
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T20:22:31Zen
dc.date.adate1998-08-27en
dc.date.available2014-03-14T20:22:31Zen
dc.date.issued1998-07-02en
dc.date.rdate1999-08-27en
dc.date.sdate1998-07-02en
dc.description.abstractIn 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 Gröbner 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.en
dc.description.degreePh. D.en
dc.identifier.otheretd-7598-162247en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-7598-162247/en
dc.identifier.urihttp://hdl.handle.net/10919/30699en
dc.publisherVirginia Techen
dc.relation.haspartedt.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectKoszul algebraen
dc.subjectquadratic algebraen
dc.subjectmonomial generatorsen
dc.titleA Classification of some Quadratic Algebrasen
dc.typeDissertationen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en
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