Let M be an R-module. If every cofinite essential submodule of M has a g-supplement in M, then M is called a cofinitely essential g-supplemented (or briefly cofinitely eg-supplemented) module. In this work, some properties ...

Let M be an R-module. If every essential submodule of M has a g-radical supplement in M, then M is called an essential g-radical supplemented (or briefly eg-radical supplemented) module. In this work, some properties of ...

In this work, finitely essential supplemented modules are defined and some properties of these modules are investigated. Let M be a finitely essential supplemented module. If M is noetherian, then M is essential supplemented. ...

In this paper, we provide various properties of GE and GEE-modules, a new variation of injective modules. We call M a GE-module if it has a g-supplement in every extension N and, we call also M a GEE-module if it has ample ...

In this work, every ring have unity and every module is unital left module. Let M be an R-module and N < M. If N < RadM, then N is called a radical small (or briefly r-small) submodule of M and denoted by N

In this work (R) - g-supplemented modules are defined and some properties of these modules are investigated. It is proved that the finite direct sum of (R) - g-supplemented modules is also (R) - g-supplemented. Let M be a ...