  It is shown that, for proper symmetry of the parent lattice,
antiferromagnetic order can survive in two-dimensional liquid crystals and even
isotropic liquids of point-like particles, in contradiction to what common
sense might suggest. We discuss the requirements for antiferromagnetic order in
the absence of translational and/or orientational lattice order. One example is
the honeycomb lattice, which upon melting can form a liquid crystal with
quasi-long-range orientational and antiferromagnetic order but short-range
translational order. The critical properties of such systems are discussed.
Finally, we draw conjectures for the three-dimensional case.
