Triangular Matrix Categories over path Categories and Quasi-hereditary Categories, as well as one point extensions by Projectives

M. Ortiz-Morales, Rafael Ochoa

In this paper, we prove that the lower triangular matrix category $\Lambda =\left[\begin{array}{cc}\mathcal{T}& 0\\ M& \mathcal{U}\end{array}\right]$, where $\mathcal{T}$ and…