GCD matrices, posets, and nonintersecting paths
英文摘要：
We show that with any finite partially ordered set one can associate a matrix whose determinant factors nicely. As corollaries, we obtain a number of results in the literature about GCD matrices and their relatives. Our main theorem is proved combinatorially using nonintersecting paths in a directed graph.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
