  The Drell-Yan (DY) processes with unpolarized colliding hadrons and with the
single transversally polarized hadron are considered. The possibility of direct
(without any model assumptions) extraction of both transversity and its
accompanying T-odd parton distribution functions (PDF) is discussed. For DY
processes measurements planned at GSI the preliminary estimations demonstrate
that it is quite real to extract both transversity and its accompanying T-odd
PDF in the PAX conditions.
