Studying the singularity of LCM-type matrices via semilattice structures and their Möbius functions-Reference-Cited by-同舟云学术

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Studying the singularity of LCM-type matrices via semilattice structures and their Möbius functions

Published:2015-10 Issue: Volume:135 Page:181-200
ISSN:0097-3165
Container-title:Journal of Combinatorial Theory, Series A
language:en
Short-container-title:Journal of Combinatorial Theory, Series A

Author:

Haukkanen Pentti,Mattila Mika^ORCID,Mäntysalo Jori^ORCID

Publisher

Elsevier BV

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference17 articles.

1. Combinatorial Theory;Aigner,1979

2. Determinant and inverse of meet and join matrices;Altinisik;Int. J. Math. Math. Sci.,2007

3. On GCD and LCM matrices;Bourque;Linear Algebra Appl.,1992

4. On some analogues of the Bourque–Ligh conjecture on LCM matrices;Haukkanen;Notes Number Theory Discrete Math.,1997

5. On Smith's determinant;Haukkanen;Linear Algebra Appl.,1997

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Some further applications of a lattice theoretic method in the study of singular LCM matrices;Linear Algebra and its Applications;2023-05

2. Studying the inertias of LCM matrices and revisiting the Bourque-Ligh conjecture;Journal of Combinatorial Theory, Series A;2020-04

3. A lattice-theoretic approach to the Bourque–Ligh conjecture;Linear and Multilinear Algebra;2018-07-17

4. New results on the value of a certain arithmetical determinant;Publicationes Mathematicae Debrecen;2018-07-01

5. Generalized eigenvalue problems for meet and join matrices on semilattices;Linear Algebra and its Applications;2018-01

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