Okay, sounds good. I think people sometimes use \\(\mathrm{Disc}(S)\\) for the [discrete category](https://en.wikipedia.org/wiki/Discrete_category) on the set \\(S\\), and people definitely use \\(n\\) to mean the set \\(\\{0, \dots, n-1\\}\\), so we could also call this category \\(\mathrm{Disc}(n)\\)... which is almost what you wrote!