The goal of this research is to introduce the concepts of Largesmall submodule and Large-
hollow module and some properties of them are considered, such that a proper submodule …

Let R be a ring with identity and M be a right unitary R-module. In this paper we introduce
the notion of strongly coretractable modules. Some basic properties of this class of modules …

We will add new types of modules over a ring $\mathfrak {R} $ called $\mathit {g}-$ small
completely stable module and $\mathit {g}-$ small duo module, assuming $\mathfrak {R} $ is …

Let R be a commutative ring with identity, and W be a unitary left R-module. In this paper we,
introduce and study a new class of modules called pure hollow (Prhollow) and pure-lifting …

Let R be any ring with identity, and let M be a unitary left R-module. A submodule K of M is
called generalized coessential submodule of N in M, if (N)/K⊆[Rad] _g (M/K). A module M is …

CAMES E-small retractable modules Page 1 JP Journal of Algebra, Number Theory and
Applications © 2020 Pushpa Publishing House, Prayagraj, India http://www.pphmj.com http://dx.doi.org/10.17654/NT047010015 …

Let R be associative ring with identity and let M be unitary left R-module. A submodule N of
M is called, T-small in M denoted by N≪ TM, in case for any submodule X⊆ M, T⊆ N+ X …

The concept of small monoform module was introduced by Hadi and Marhun, where a
module U is called small monoform if for each non-zero submodule V of U and for every non …