dc.contributor.author | Hughes, Meri Trema | en_US |
dc.date.accessioned | 2009-09-16T18:19:46Z | |
dc.date.available | 2009-09-16T18:19:46Z | |
dc.date.issued | 2009-09-16T18:19:46Z | |
dc.date.submitted | January 2009 | en_US |
dc.identifier.other | DISS-10374 | en_US |
dc.identifier.uri | http://hdl.handle.net/10106/1783 | |
dc.description.abstract | In this paper, we discuss conditions for uniqueness among minimal acyclic complexes of finitely generated free modules over a commutative local ring which share a common syzygy module. Although such uniqueness occurs over Gorenstein rings, the question has been asked whether two minimal acyclic complexes in general can be isomorphic to the left and non-isomorphic to the right. We answer the question in the negative for certain cases, including periodic complexes, sesqui-acyclic complexes, and certain rings with radical cube zero. In particular, we investigate the question for graded algebras with Hilbert series $H_R(t)=1+et+(e-1)t^2$, and such monomial algebras possessing a special generator. | en_US |
dc.description.sponsorship | Jorgensen, David A. | en_US |
dc.language.iso | EN | en_US |
dc.publisher | Mathematics | en_US |
dc.title | The Uniqueness Of Minimal Acyclic Complexes | en_US |
dc.type | Ph.D. | en_US |
dc.contributor.committeeChair | Jorgensen, David A. | en_US |
dc.degree.department | Mathematics | en_US |
dc.degree.discipline | Mathematics | en_US |
dc.degree.grantor | University of Texas at Arlington | en_US |
dc.degree.level | doctoral | en_US |
dc.degree.name | Ph.D. | en_US |
dc.identifier.externalLink | http://www.uta.edu/ra/real/editprofile.php?onlyview=1&pid=73 | |
dc.identifier.externalLinkDescription | Link to Research Profiles | |