Hong, Shaofang On Bourque-Ligh conjecture of LCM matrices. (English) Zbl 0869.11022 Adv. Math., Beijing 25, No. 6, 566-568 (1996). The author shows that the Bourque-Ligh conjecture (see the review Zbl 0869.11020 above) holds if and only if \(n\leq 7\). Reviewer: Pentti Haukkanen (Tampere) Cited in 3 ReviewsCited in 6 Documents MSC: 11C20 Matrices, determinants in number theory 11A05 Multiplicative structure; Euclidean algorithm; greatest common divisors 15B36 Matrices of integers 11A25 Arithmetic functions; related numbers; inversion formulas Keywords:least common multiple matrix; greatest common divisor closed set; Smith’s determinant; Bourque-Ligh conjecture Citations:Zbl 0869.11020; Zbl 0869.11022 PDFBibTeX XMLCite \textit{S. Hong}, Adv. Math., Beijing 25, No. 6, 566--568 (1996; Zbl 0869.11022)