On the flag f-vector of a graded lattice with nontrivial homology
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flagf-vectorgradedhomologynontrivialrankalgebraanalogous
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It is proved that the Boolean algebra of rank n minimizes the flag f-vector among all graded lattices of rank n, whose proper part has nontrivial top-dimensional homology. The analogous statement for the flag h-vector is conjectured in the Cohen-Macaulay case.
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