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The Uniqueness Of Minimal Acyclic Complexes

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The Uniqueness Of Minimal Acyclic Complexes

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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 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 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

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