TAIWANESE JOURNAL OF MATHEMATICS, vol.13, no.4, pp.1247-1256, 2009 (SCI-Expanded)
A module M is called ECS if every ec-closed submodule of M is a direct summand. It was shown that the ECS property lies strictly between CS and P-extending properties. We studied modules M such that every homomorphism from an ec-closed submodule of M to M can be lifted to M. Although such modules share some of the properties of ECS-modules, it is shown that they form a substantially bigger class of modules.