Zhao, Jianrong Divisibility of power LCM matrices by power GCD matrices on gcd-closed sets. (English) Zbl 1350.11042 Linear Multilinear Algebra 62, No. 6, 735-748 (2014). MSC: 11C20 11A25 15B36 PDFBibTeX XMLCite \textit{J. Zhao}, Linear Multilinear Algebra 62, No. 6, 735--748 (2014; Zbl 1350.11042) Full Text: DOI
Zhao, Jianrong; Zhao, Wei; Li, Mao Divisibility properties of Smith matrices on the gcd-closed set \(S\) with \(|S|=6\). (Chinese. English summary) Zbl 1265.11052 Acta Math. Sin., Chin. Ser. 54, No. 4, 609-618 (2011). MSC: 11C20 11A25 PDFBibTeX XMLCite \textit{J. Zhao} et al., Acta Math. Sin., Chin. Ser. 54, No. 4, 609--618 (2011; Zbl 1265.11052)
Zhao, Wei; Zhao, Jianrong A characterization for the gcd-closed set \(S\) with \(|S|=5\) such that \((S^e)\) divides \([S^e]\). (English) Zbl 1212.15064 Southeast Asian Bull. Math. 33, No. 5, 1023-1028 (2009). MSC: 15B36 11C20 PDFBibTeX XMLCite \textit{W. Zhao} and \textit{J. Zhao}, Southeast Asian Bull. Math. 33, No. 5, 1023--1028 (2009; Zbl 1212.15064)
Feng, Weiduan; Hong, Shaofang; Zhao, Jianrong Divisibility properties of power LCM matrices by power GCD matrices on gcd-closed sets. (English) Zbl 1263.11042 Discrete Math. 309, No. 9, 2627-2639 (2009). MSC: 11C20 15B36 PDFBibTeX XMLCite \textit{W. Feng} et al., Discrete Math. 309, No. 9, 2627--2639 (2009; Zbl 1263.11042) Full Text: DOI
Hong, Shaofang; Zhou, Xingwang; Zhao, Jianrong Power GCD matrices for a UFD. (English) Zbl 1247.11033 Algebra Colloq. 16, No. 1, 71-78 (2009). MSC: 11C20 11A25 13F15 15B36 PDFBibTeX XMLCite \textit{S. Hong} et al., Algebra Colloq. 16, No. 1, 71--78 (2009; Zbl 1247.11033) Full Text: DOI Link
Zhao, Jianrong A characterization of the gcd-closed set \(S\) with \(|S|=4\) such that \( (S^e)\) divides \([S^e]\). (English) Zbl 1199.11072 J. Sichuan Univ., Nat. Sci. Ed. 45, No. 3, 485-487 (2008). MSC: 11C20 11A25 15B36 PDFBibTeX XMLCite \textit{J. Zhao}, J. Sichuan Univ., Nat. Sci. Ed. 45, No. 3, 485--487 (2008; Zbl 1199.11072)
Zhao, Jianrong; Hong, Shaofang; Liao, Qunying; Shum, K. P. On the divisibility of power LCM matrices by power GCD matrices. (English) Zbl 1174.11031 Czech. Math. J. 57, No. 1, 115-125 (2007). MSC: 11C20 11A25 15B36 PDFBibTeX XMLCite \textit{J. Zhao} et al., Czech. Math. J. 57, No. 1, 115--125 (2007; Zbl 1174.11031) Full Text: DOI EuDML Link