论文标题
$ Q $ -Matroid的直接总和的可表示
Representability of the Direct Sum of $q$-Matroids
论文作者
论文摘要
尽管矩阵理论和$ q $ - 宽阔的理论之间有许多相似之处，最值得注意的是，在隐态级别上，直接总和就存在实质性差异。 $ Q $ -Matroids的直接总和直到最近才在文献中引入。在此简短说明中，我们表明，代表$ Q $ -MATROID的直接总和可能无法代表。是否可以通过给定的$ Q $ -Matroids来表征直接总和的表示仍然是一个空旷的问题。
While there are many parallels between matroid theory and $q$-matroid theory, most notably on the level of cryptomorphisms, there are substantial differences when it comes to the direct sum. The direct sum of $q$-matroids has been introduced in the literature only recently. In this short note we show that the direct sum of representable $q$-matroids may not be representable. It remains an open question whether representability of the direct sum can be characterized by the given $q$-matroids.
