Finite Generation of Ext-Algebras for Monomial Algebras

Simple item page
dc.contributor.authorCone, Randall Edwarden
dc.contributor.committeechairGreen, Edward L.en
dc.contributor.committeememberLoehr, Nicholas A.en
dc.contributor.committeememberLinnell, Peter A.en
dc.contributor.committeememberBrown, Ezra A.en
dc.contributor.committeememberDay, Martin V.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T20:19:36Zen
dc.date.adate2010-12-09en
dc.date.available2014-03-14T20:19:36Zen
dc.date.issued2010-11-30en
dc.date.rdate2010-12-09en
dc.date.sdate2010-12-01en
dc.description.abstractThe use of graphs in algebraic studies is ubiquitous, whether the graphs be finite or infinite, directed or undirected. Green and Zacharia have characterized finite generation of the cohomology rings of monomial algebras, and thereafter G. Davis determined a finite criteria for such generation in the case of cycle algebras. Herein, we describe the construction of a finite directed graph upon which criteria can be established to determine finite generation of the cohomology ring of in-spoked cycle" algebras, a class of algebras that includes cycle algebras. We then show the further usefulness of this constructed graph by studying other monomial algebras, including d-Koszul monomial algebras and a new class of monomial algebras which we term "left/right-symmetric" algebras.en
dc.description.degreePh. D.en
dc.identifier.otheretd-12012010-104308en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-12012010-104308/en
dc.identifier.urihttp://hdl.handle.net/10919/29865en
dc.publisherVirginia Techen
dc.relation.haspartCone_RE_D_2010.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectfinite generationen
dc.subjectcohomologyen
dc.subjectmonomial algebrasen
dc.titleFinite Generation of Ext-Algebras for Monomial Algebrasen
dc.typeDissertationen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Cone_RE_D_2010.pdf
Size:
564.99 KB
Format:
Adobe Portable Document Format
Download

Collections

Doctoral Dissertations