The two-dimensional Ising model with a dipolar and superexchange interaction will be examined. This model will be studied using Monte Carlo simulations. The results of this study will be discussed in two ways. First, the results will he analysed treating the system as a possible model for the rare earth ordering in the compounds REBa₂Cu₃O₇, where RE one of the Kramers rare earth ions. A comparison between the Néel temperature of a pure dipolar system and the experimental Néel temperature of these compounds will be done. As well, the results will be analysed in terms of what may be learned about dipolar systems in general. In particular, the Néel temperature and the static critical exponents will be discussed
