Explicit expressions of Smith's determinant on a poset

DOI10.1007/s101149900019zbMath0984.15018OpenAlexW2127026673MaRDI QIDQ5936147

Bo Ying Wang

Publication date: 28 April 2002

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s101149900019

zbMATH Keywords

Möbius functionposetgreatest common divisorjoin-functionjoin-semilatticeleast common multiplemeet-functionmeet-semilatticeMöbius inversion formulaSmith's determinantSmith's matrices

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15) Matrices of integers (15B36)

Related Items (1)

Determinant and inverse of meet and join matrices

Cites Work

• Unnamed Item
• Greatest common divisor matrices
• On greatest common divisor matrices and their applications
• On GCD and LCM matrices
• On Smith's determinant
• Matrices associated with multiplicative functions
• On meet matrices on posets
• Some analogues of smith's determinant
• Another generalisation of smith's determinant
• On the Singularity of LCM Matrices
• Matrices associated with arithmetical functions
• Determinants on Semilattices
• Hadamard determinants Möbius functions, and the chromatic number of a graph

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