Divisibility of LCM matrices by Totally nonnegative GCD matrices

2020/11/02 by Gatephan, Peeraphat, Rodtes, Kijti
#15A15 #15A60 #15A86 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2011.00863

Abstract

In this paper, we show that all totally nonnegative GCD matrices are always divisors of the corresponding LCM matrices in the ring \mathbbM_n(ℤ). We also introduce \lq\lq column monotone matrices" used to construct all totally nonegative GCD matrices.

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