  Ringed accretion disks (RADs) are agglomerations of perfect-fluid tori
orbiting around a single central attractor that could arise during complex
matter inflows in active galactic nuclei. We focus our analysis to
axi-symmetric accretion tori orbiting in the equatorial plane of a supermassive
Kerr black hole; equilibrium configurations, possible instabilities, and
evolutionary sequences of RADs were discussed in our previous works. In the
present work we discuss special instabilities related to open equipotential
surfaces governing the material funnels emerging at various regions of the
RADs, being located between two or more individual toroidal configurations of
the agglomerate. These open structures could be associated to proto-jets.
Boundary limiting surfaces are highlighted, connecting the emergency of the
jet-like instabilities with the black hole dimensionless spin. These
instabilities are observationally significant for active galactic nuclei, being
related to outflows of matter in jets emerging from more than one torus of RADs
orbiting around supermassive black holes.

General Relativity and Quantum Cosmology;High Energy Astrophysical Phenomena