A LATTICE-THEORETIC GENERALIZATION OF THE LEHMER MATRIX

Ercan Altınışık, Fatih Yağcı, Mehmet Yıldız
1.584 417

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.

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References


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