  Vortex states in the mixture of ultracold atomic clouds of bosons and
fermions are investigated using the effective Hamiltonian for the Bose
subsystem. A stability of the Bose system in the case of attractive interaction
between components is studied in the framework of variational Bose wave
function and Thomas-Fermi approximation. It is shown that the critical number
of bosons increases in the presence of the vortex.
