Geodesic
A note on the homology of signed posets
Journal of Algebraic Combinatorics, Tome 5 (1996) no. 3, pp. 245-250.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Let $S$ 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, $n]$.
Keywords: poset, Cohen-Macaulay, signed poset 
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     author = {Hanlon, Phil},
     title = {A note on the homology of signed posets},
     journal = {Journal of Algebraic Combinatorics},
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     number = {3},
     year = {1996},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_1996__5_3_a1/}
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Hanlon, Phil. A note on the homology of signed posets. Journal of Algebraic Combinatorics, Tome 5 (1996) no. 3, pp. 245-250. http://geodesic.mathdoc.fr/item/JAC_1996__5_3_a1/