2 problems

Let $A$ be a local DG-ring and let $X$ be a nonzero object of $\mathrm{D}^{\mathrm{b}}_{\mathrm{f}}(A)$ with finite injective dimension, that is, $\mathrm{injdim}_A X<\infty$. Writ…

Existence conjecture. Any sequence-regular DG-ring has a dualizing DG-module.