A Lattice-theoretic Generalization of the Lehmer Matrix

被引：0

作者：

Altinisik, Ercan ^{[1
]}

Yagci, Fatih ^{[1
]}

Yildiz, Mehmet ^{[1
]}

机构：

[1] Gazi Univ, Dept Math, Fac Sci, TR-06500 Teknikokullar, Turkey

来源：

GAZI UNIVERSITY JOURNAL OF SCIENCE | 2016年 / 29卷 / 03期

关键词：

the Lehmer matrix; lattice; meet matrix; determinant; inverse; Mobius inversion;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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 the generalization of formulae for the determinant, the inverse of the classical Lehmer matrix and most of its generalizations presented in the literature.

引用

页码：675 / 679

页数：5

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