- Gazi University Journal of Science
- Vol: 29 Issue: 3
- A LATTICE-THEORETIC GENERALIZATION OF THE LEHMER MATRIX
A LATTICE-THEORETIC GENERALIZATION OF THE LEHMER MATRIX
Authors : Ercan Altinişik, Fatih Yağci, Mehmet Yildiz
Pages : 675-679
View : 18 | Download : 5
Publication Date : 2016-09-30
Article Type : Research
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.