In this article, we define a module M to be G z-extending if and only if for each z-closed
submodule X of M there exists a direct summand D of M such that X∩ D is essential in both …

Let R be a ring and M a left R‐module. M which satisfies DCC on essential submodules is
GCH, and M which satisfies ACC on small submodules is WH. If M [X] is GCH R [X]‐module …

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

Let R be an associative ring with identity and M be unital non zero right R-module. M is
called H–supplemented module if given any submodule A of M there exist a direct summend …

Let M be an R-module, where R be a commutative; ring with identity. In this paper, we
defined a new kind of submodules, namely; ET-coessential and ET-Coclosed submodules of …

Keskin and Harmanci defined the family B (M, X)= ${A {\leq} M|{\exists} Y {\leq} X,{\exists} f
{\in} Hom_R (M, X/Y),\; Ker\; f/A {\ll} M/A} $. And Orhan and Keskin generalized projective …

The class of $ H $-supplemented modules, which is a nice generalization of that of lifting
modules, has been studied extensively in the last decade. As the concept of …

Let R be a ring and M a right R-module. M is called--δ⊕ supplemented, if every submodule
of M has a-δ supplemented that is a direct summand of M. In this paper, several properties of …

n-copure submodules of modules Page 1 Cankaya University Journal of Science and
Engineering Volume 15, No. 2 (2018) 054–062 Date Received: 20/06/2018 Date Accepted …

Let R be a ring and M be an R-module. In this paper we investigate modules M such that
every (simple) cosingular R-module is M-projective. We prove that every simple cosingular …