The graded one-relator coherence conjecture

Let $A$ be a connected finitely generated ${\mathbb N}$-graded algebra over a field $k$, with $A_0=k$. The algebra $A$ is graded coherent if every finitely generated graded ideal is finitely presented. The graded one-relator coherence conjecture. Every graded algebra with a single defining relation is graded coherent. The source proves this when the relation is quadratic, while the general statement remains conjectural there.