KYUNGPOOK MATHEMATICAL JOURNAL, cilt.48, sa.1, ss.63-71, 2008 (ESCI)
In this paper, we study a module which is lifting and supplemented relative to a module class. Let R be a ring, and let X be a class of R-modules. We will define X-lifting modules and X-supplemented modules. Several properties of these modules are proved. We also obtain results for the case of specific classes of modules.