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An Inequality for the Möbius Function of a Geometric Lattice
Author(s) -
Greene Curtis
Publication year - 1975
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm197554171
Subject(s) - mathematics , inequality , lattice (music) , pure mathematics , modularity (biology) , combinatorics , mathematical analysis , physics , biology , acoustics , genetics
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.