On homological properties of the category of ${\mathbb{F}}_1$-representations over a linear quiver of type ${\mathbb{A}}_n$

Changjian Fu, Longjun Ran, Liang Yang

Let $Q$ be a quiver of type ${\mathbb{A}}_n$ with linear orientation and $\mathrm{rep}(Q,{\mathbb{F}}_1)$ the category of representations of $Q$ over the virtual field $\mathbb{F…