  For a noetherian ring $\Lambda$, the stabilization functor in the sense of
Krause yields an embedding of the singularity category of $\Lambda$ into the
homotopy category of acyclic complexes of injective $\Lambda$-modules. When
$\Lambda$ contains a semisimple artinian subring $E$, we give an explicit
description of the stabilization functor using the Hom complexes in the
$E$-relative singular Yoneda dg category of $\Lambda$.
