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A Note on the Homology of Signed Posets

dc.contributor.authorHanlon, Philen_US
dc.date.accessioned2006-09-11T17:32:42Z
dc.date.available2006-09-11T17:32:42Z
dc.date.issued1996-07en_US
dc.identifier.citationHanlon, Phil; (1996). "A Note on the Homology of Signed Posets." Journal of Algebraic Combinatorics 5(3): 245-250. <http://hdl.handle.net/2027.42/46242>en_US
dc.identifier.issn0925-9899en_US
dc.identifier.issn1572-9192en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/46242
dc.description.abstractLet S be a signed poset in the sense of Reiner [4]. Fischer [2] defines the homology of S , in terms of a partial ordering P ( S ) associated to S , to be the homology of a certain subcomplex of the chain complex of P ( S ). In this paper we show that if P ( S ) is Cohen-Macaulay and S has rank n , then the homology of S vanishes for degrees outside the interval [ n /2, n ].en_US
dc.format.extent216923 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherKluwer Academic Publishers-Plenum Publishers; Kluwer Academic Publishers ; Springer Science+Business Mediaen_US
dc.subject.otherMathematicsen_US
dc.subject.otherComputer Science, Generalen_US
dc.subject.otherGroup Theory and Generalizationsen_US
dc.subject.otherOrder, Lattices, Ordered Algebraic Structuresen_US
dc.subject.otherCombinatoricsen_US
dc.subject.otherConvex and Discrete Geometryen_US
dc.subject.otherPoseten_US
dc.subject.otherCohen-Macaulayen_US
dc.subject.otherSigned Poseten_US
dc.titleA Note on the Homology of Signed Posetsen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics, University of Michigan, Ann Arbor, MI, 48109-1003. Research partially supported by the National Science Foundation and the John Simon Guggenheim Foundationen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/46242/1/10801_2005_Article_415337.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1023/A:1022428328476en_US
dc.identifier.sourceJournal of Algebraic Combinatoricsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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