GCD Matrices Defined on GCD-Closed Sets in Principal Ideal Domains
Let S = {x1, x2, ..., xn} be a set of n distinct positive integers. The matrix [S] = (sij) having the greatest common divisor (xi, xj) of xi and xj as its i, j-entry is called the greatest common divisor (GCD) matrix on S. Beslin and Ligh obtained a structure theorem for GCD matrices and generalized...
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2010
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| Online Access: | http://hdl.handle.net/10725/2148 https://doi.org/10.3844/jmssp.2009.342.347 https://www.researchgate.net/publication/267672926_GCD_matrices_defined_on_GCD-closed_sets_in_a_PID |
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