A Note on the Homology of Signed Posets
نویسنده
چکیده
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].
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