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.
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页码：675 / 679
页数：5
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