A characterization for the gcd-closed set \(S\) with \(|S|=5\) such that \((S^e)\) divides \([S^e]\)

zbMath1212.15064MaRDI QIDQ600420

Wei Zhao, Jianrong Zhao

Publication date: 5 November 2010

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

zbMATH Keywords

divisibilityLCM matrixgcd-closed setgcd matrix

Mathematics Subject Classification ID

Matrices of integers (15B36) Matrices, determinants in number theory (11C20)

Related Items (4)

Determinants and divisibility of power GCD and power LCM matrices on finitely many coprime divisor chains ⋮ Divisibility of LCM matrices by totally nonnegative GCD matrices ⋮ Non-divisibility of LCM matrices by GCD matrices on \(\gcd\)-closed sets ⋮ Divisibility properties of power LCM matrices by power GCD matrices on gcd-closed sets

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