dc.contributor.author | Hersey, Benjamin | |
dc.date.accessioned | 2015-08-21T17:08:03Z | |
dc.date.available | 2015-08-21T17:08:03Z | |
dc.date.issued | 2015 | |
dc.identifier.uri | http://hdl.handle.net/10222/60768 | |
dc.description.abstract | We examine ways in which simplicial complexes can be used for describing, classifying,
and studying multigraded free resolutions of monomial ideals. By using homgenizations
of frames and dehomogenizations of resolutions we can, under appropriate circumstances,
describe the structure of a resolution of a monomial ideal by a simiplicial complex. We
discuss the successes and failures of this approach. We finish by applying the tools we
have presented to quasi-trees, providing a new proof to a theorem of Herzog, Hibi, and
Zheng which classifies monomial ideals with minimal projective dimension. | en_US |
dc.language.iso | en | en_US |
dc.subject | resolution | en_US |
dc.subject | Quasi-tree | en_US |
dc.subject | Monomial Ideal | en_US |
dc.title | Resolutions of Monomial Ideals Via Quasi-Trees | en_US |
dc.type | Thesis | en_US |
dc.date.defence | 2015-08-18 | |
dc.contributor.department | Department of Mathematics & Statistics - Math Division | en_US |
dc.contributor.degree | Master of Science | en_US |
dc.contributor.external-examiner | n/a | en_US |
dc.contributor.graduate-coordinator | David Iron | en_US |
dc.contributor.thesis-reader | Jason Brown | en_US |
dc.contributor.thesis-reader | Richard Nowakowski | en_US |
dc.contributor.thesis-supervisor | Sara Faridi | en_US |
dc.contributor.ethics-approval | Not Applicable | en_US |
dc.contributor.manuscripts | Not Applicable | en_US |
dc.contributor.copyright-release | Not Applicable | en_US |