A lattice-theoretic approach to the Bourque–Ligh conjecture
From MaRDI portal
Publication:5240729
DOI10.1080/03081087.2018.1494695zbMath1442.11054arXiv1403.5428OpenAlexW2964308891WikidataQ123242166 ScholiaQ123242166MaRDI QIDQ5240729
Mika Mattila, Ismo Korkee, Pentti Haukkanen
Publication date: 29 October 2019
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.5428
Structure theory of lattices (06B05) Matrices of integers (15B36) Matrices, determinants in number theory (11C20)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Determinant and inverse of join matrices on two sets
- Studying the singularity of LCM-type matrices via semilattice structures and their Möbius functions
- Nonsingularity of matrices associated with classes of arithmetical functions
- Determinant and inverse of meet and join matrices
- On greatest common divisor matrices and their applications
- On GCD and LCM matrices
- On the Bourque-Ligh conjecture of least common multiple matrices
- On Smith's determinant
- On meet and join matrices associated with incidence functions.
- Counting finite lattices.
- On the positive definiteness and eigenvalues of meet and join matrices
- Notes on Hong's conjectures of real number power LCM matrices
- Semi-multiplicative functions
- On meet matrices on posets
- Nonsingularity of least common multiple matrices on gcd-closed sets
- On meet hypermatrices and their eigenvalues
- Some analogues of smith's determinant
- ASYMPTOTIC BEHAVIOR OF THE SMALLEST EIGENVALUE OF MATRICES ASSOCIATED WITH COMPLETELY EVEN FUNCTIONS (mod r)
- Determinants of Matrices Associated with Incidence Functions on Posets
- On unitary analogs of GCD reciprocal LCM matrices
- An analysis of GCD and LCM matrices via the LDL^T-factorization
- ASYMPTOTIC BEHAVIOR OF EIGENVALUES OF GREATEST COMMON DIVISOR MATRICES
- GCD matrices, posets, and nonintersecting paths
- Bounds for determinants of meet matrices associated with incidence functions
This page was built for publication: A lattice-theoretic approach to the Bourque–Ligh conjecture