  We consider atomic mixtures of bosons and two-component fermions in an
optical lattice potential. We show that if the bosons are in a Mott-insulator
state with precisely one atom per lattice, the photoassociation of bosonic and
fermionic atoms into heteronuclear fermionic molecules is described by the
Anderson Lattice Model. We determine the ground state properties of an
inhomogeneous version of that model in the strong atom-molecule coupling
regime, including an additional harmonic trap potential. Various spatial
structures arise from the interplay between the atom-molecule correlations and
the confining potential. Perturbation theory with respect to the tunneling
coupling between fermionic atoms shows that anti-ferromagnetic correlations
develop around a spin-singlet core of fermionic atoms and molecules.
