Meet and join matrices in the poset of exponential divisors

DOI10.1007/s12044-009-0031-2zbMath1189.11017OpenAlexW2051293646MaRDI QIDQ732856

Ismo Korkee, Pentti Haukkanen

Publication date: 15 October 2009

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-009-0031-2

zbMATH Keywords

latticemeet matrixjoin matrixexponential divisorgreatest common divisor matrixleast common multiple matrix

Mathematics Subject Classification ID

Matrices of integers (15B36) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05) Lattices (06B99) Matrices, determinants in number theory (11C20)

Cites Work

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• Introduction to arithmetical functions
• On greatest common divisor matrices and their applications
• On Smith's determinant
• On meet and join matrices associated with incidence functions.
• On meet matrices on posets
• Determinants of Matrices Associated with Incidence Functions on Posets
• On certain arithmetic functions involving exponential divisors, II
• On an Arithmetic Convolution
• Matrices associated with arithmetical functions
• GCD matrices, posets, and nonintersecting paths
• Bounds for determinants of meet matrices associated with incidence functions

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