A LATTICE-THEORETIC GENERALIZATION OF THE LEHMER MATRIX

Authors : Ercan ALTINIŞIK, Fatih YAĞCI, Mehmet YILDIZ

Pages : 675-679

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Publication Date : 2016-09-30

Article Type : Research Paper

Abstract :In this paper, we present a lattice-theoretic generalization of the Lehmer matrix. We obtain some certain formulae for the determinant and the entries of the inverse of this new generalization by using lattice-theoretic tools. These formulae are generalization of formulae for the determinant and the inverse of the classical Lehmer matrix and most of its generalizations presented in the literature.
Keywords : the Lehmer matrix, lattice, meet matrix, determinant, inverse, Möbius inversion