论文标题
线性矩阵方程的最大常见分裂和最少常见的溶液倍数
A greatest common divisor and a least common multiple of solutions of a linear matrix equation
论文作者
论文摘要
我们描述了剩余的最大共同分裂的明确形式，以及在交换基本除数域上可解的线性矩阵方程的最小值溶液的最小值倍数。我们证明，这些剩下的最大的共同除数和最少常见的倍数也是相同方程的解决方案。
We describe the explicit form of a left greatest common divisor and a least common multiple of solutions of a solvable linear matrix equation over a commutative elementary divisor domain. We prove that these left greatest common divisor and least common multiple are also solutions of the same equation.
