We investigate some properties of n-submodules. More precisely, we find a necessary and
sufficient condition for every proper submodule of a module to be an n-submodule. Also, we …

Let $ R $ be a commutative ring with identity and let $ M $ be an $ R $-module. A proper
submodule $ N $ of $ M $ is said to be an $ r $-submodule if $ am\in N $ with $(0: _Ma)= 0 …

In this work, all rings have unity and all modules are unital left modules. Let M be an R‐
module. If every cofinite submodule of M has ag‐radical supplement in M, then M is called a …

The aim of this note is to introduce and investigate a category of modules which is
analogous to that of g-lifting and principally lifting modules. The module M is called …

Cofinitely eg-Supplemented Modules Page 1 Conference Proceeding Science and Technology,
3(1), 2020, 77–81 Conference Proceeding of 3rd International E-Conference on Mathematical …

In this work, strongly⊕− g− radical supplemented modules are defined and some properties
of these modules are investigated. Every ring has unity and every module is unital left …

The novel ideas in module M over a ring R are introduced in this study. The first one, a
generalization of the e∗-lifting module, is known as e∗-hollow-lifting. The second idea, an …

Let R be a commutative ring with identity and let M be a unital left R-module. Goodearl
introduced the following concept: A submodule A of an R–module M is an y–closed …

Let R be a ring and M a right R-module. M is called⌖-supplemented if every submodule of M
has a supplement that is a direct summand of M, and M is called completely⌖-supplemented …

Let be a unitary left R-module on associative ring with identity. Asubmodule of is called-
annihilator small if, where is asubmodule of, implies that ann ()= 0, where ann () indicates …