论文标题
完全非负GCD矩阵的LCM矩阵的分裂性
Divisibility of LCM matrices by Totally nonnegative GCD matrices
论文作者
论文摘要
在本文中，我们表明所有完全非负GCD矩阵始终是环$ \ Mathbb {M} _ {n}（\ Mathbb {Z}）$的相应LCM矩阵的分隔线。我们还引入了\ lq \ lq列单调矩阵“用于构建所有完全不计的GCD矩阵。
In this paper, we show that all totally nonnegative GCD matrices are always divisors of the corresponding LCM matrices in the ring $\mathbb{M}_{n}(\mathbb{Z})$. We also introduce \lq\lq column monotone matrices" used to construct all totally nonegative GCD matrices.
