  We demonstrate the generation of vortex solitons in a model of dissipative
optical media with the singular anti-cubic (AC) nonlinearity, by launching a
vorticity-carrying Gaussian input into the medium modeled by the cubic-quintic
complex Ginzburg-Landau equation with the additional AC term. The effect of the
latter term on the beam propagation is investigated in detail. An analytical
result is produced for the asymptotic form of fundamental and vortical solitons
at r --> 0, which is determined by the AC term. Numerical simulations identify
parameter domains which maintain stable dissipative solitons in the form of
vortex clusters. The number of vortices in the clusters is equal to the
vorticity embedded in the Gaussian input.
