6 problems

Let $A$ be an Auslander-Gorenstein Nakayama algebra, let $S$ be a simple $A$-module, and let $i$ be an odd integer. Odd-degree Ext dimension conjecture. One should have … The conje…

Fuchsian-category conjecture. The following properties hold:

Fuchsian-type conjecture. The following three statements hold:

Let $n\geq 2$ and let $k$ satisfy $2\leq k\leq 2n-2$. A Nakayama algebra is a finite-dimensional algebra whose indecomposable modules are uniserial; it is connected when its underl…

Let $n\geq 2$ and let $k$ satisfy $2\leq k\leq 2n-2$. A connected Nakayama algebra is a connected finite-dimensional Nakayama algebra, and $\operatorname{gldim}(A)$ denotes its glo…

Abrar's conjecture.