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An Inequality for the Möbius Function of a Geometric Lattice

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An inequality is derived for the Möbius function of a finite geometric lattice L. Equality is characterized by the modularity of certain elements of L. Applications are given to other inequalities involving Whitney numbers, ordered bases, and maximal chains.
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Document Type: Research Article

Affiliations: Massachusetis Institute of Technology

Publication date: March 1, 1975

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