Notes on the divisibility of GCD and LCM Matrices


Kuvailutiedot Haukkanen, Pentti - Korkee, Ismo - 2012-06-17T20:14:43Z 2012-06-16 12:02:14 - 2012-06-17T20:14:43Z 2005 -
dc.identifier.issn 1687-0425 -
dc.description Hindawi Open access -
dc.description.abstract Let S={x1,x2,…,xn} be a set of positive integers, and let f be an arithmetical function. The matrices (S)f=[f(gcd(xi,xj))] and [S]f=[f(lcm [xi,xj])] are referred to as the greatest common divisor (GCD) and the least common multiple (LCM) matrices on S with respect to f, respectively. In this paper, we assume that the elements of the matrices (S)f and [S]f are integers and study the divisibility of GCD and LCM matrices and their unitary analogues in the ring Mn(ℤ) of the n×n matrices over the integers. -
dc.language.iso en -
dc.title Notes on the divisibility of GCD and LCM Matrices -
dc.type fi=Artikkeli aikakauslehdessä | en=Journal article| -
dc.identifier.urn urn:nbn:uta-3-735 -
dc.identifier.doi 10.1155/IJMMS.2005.925 -
dc.type.version fi=Kustantajan versio | en=Publisher's version| -
dc.subject.okm fi=Matematiikka | en=Mathematics| -
dc.journal.title International Journal of Mathematics and Mathematical Sciences -
dc.journal.volume 2005 -
dc.journal.number 6 -
dc.journal.volumepagerange 925-936 -
dc.oldstats 72 -

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