Perfect correlations in the Einstein-Podolsky-Rosen experiment and Bell's inequalities

Abstract Perfect correlations in the Einstein-Podolsky-Rosen experiment for two-spin - 1 2 mixed states are considered and a connection with Bell's inequalities is established. In particular, it is proved that if a perfect correlation for two pairs of axes occurs, then there are infinitely many such pairs. This involves only pure maximally entangled states.