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On LCM matrices on GCD-closed sets

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Publication:1304198
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zbMath0936.15011MaRDI QIDQ1304198

Shao-Fang Hong

Publication date: 14 May 2000

Published in: Southeast Asian Bulletin of Mathematics (Search for Journal in Brave)


zbMATH Keywords

arithmetical functionGCD matrixLCM matrixgreatest common divisor matrixleast common multiple matrixfactor-closed set


Mathematics Subject Classification ID

Matrices of integers (15B36) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)


Related Items (8)

On the factorization of LCM matrices on gcd-closed sets ⋮ Notes on Hong's conjectures of real number power LCM matrices ⋮ Nonsingularity of matrices associated with classes of arithmetical functions ⋮ Nonsingularity of matrices associated with classes of arithmetical functions on lcm-closed sets ⋮ On Hong’s conjecture for power LCM matrices ⋮ Studying the inertias of LCM matrices and revisiting the Bourque-Ligh conjecture ⋮ Nonsingularity of least common multiple matrices on gcd-closed sets ⋮ Reciprocal power GCDQ matrices and power LCMQ matrices defined on factor closed sets over Euclidean domains







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