This paper contains new and known results on modules in which submodules are close to
direct summands. The main results are presented with proofs. All rings are assumed to be …

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 …

Abstract Let\(R\) be a ring and\(\tau\) be a preradical for the category of left\(R\)-modules. In
this paper, we study on modules whose maximal submodules have\(\tau\)-supplements. We …

On Weakly Primary Submodules Page 1 Journal of Al Azhar University-Gaza (Natural
Sciences), 2011, 13 : 31-40 http://www.alazhar.edu.ps/journal123/natural_Sciences.asp?typeno=1 …

Let be a commutative ring with identity and let be an R-module. We call an R-submodule of
as P-essential if for each nonzero prime submodule of and 0. Also, we call an R-module as …

Let R be an arbitrary ring, M a rightR-module and S= EndR (M), the endomorphism ring of M.
A proper fully invariant submodule X of M is called a prime submodule of M if for any ideal I …

Modules which satisfy the converse of Schurs lemma have been studied by many authors. In
[6], R. Ware proved that a projective module P over a semiprime ring R is irreducible if and …

Let R be a ring and M a right R–module. In this paper we prove that if M is weakly F-
supplemented, then every factor module and every F-coclosed submodule of M is again …

Let R be a commutative ring. We determine the cyclic modules in the projectivity domain and
those in the injectivity domain of a simple R-module. An R-module M is called poor (p-poor) …