On T-hollow-lifiting modules

الملخص EN

Let M be an R-module, and let T be a submodule of M.

A submodule K is called 7-Small submodule (K « T M) if for every submodule X of M such that T c K + X implies that T C X.

In our work we give the definition of T-coclosed submodule and T-hollow-lifiting modules with many properties.