q-Matroids form the q-analogue of classical matroids. In this paper we introduce various types of maps between q-matroids. These maps are not necessarily linear, but they map subspaces to subspaces and respect the q-matroid structure in certain ways. The various types of maps give rise to different categories of q-matroids. We show that only one of these categories possesses a coproduct. This is the category where the morphisms are linear weak maps, that is, the rank of the image of any subspace is not larger than the rank of the subspace itself. The coproduct in this category is the very recently introduced direct sum of q-matroids.
翻译:q- Matroids 形成古典类固醇的q- analog 。 在本文中, 我们引入了 q- matroids 之间各种类型的地图。 这些地图不一定是线性, 但是它们映射子空间到子空间, 并且以某种方式尊重 q- matroid 结构 。 各种类型的地图产生不同种类的q- matroids 。 我们显示, 这些类别中只有一种拥有共产物 。 这是形态是线性弱映射的类别, 也就是说, 任何子空间的图像级别并不大于子空间本身的级别 。 这一类别的共产物是最近引入的直接q- matroid 和 。</s>