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 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 …

We provide the notion of strongly semiprime submodules of a given right $ R $-module $ M
$ and describe properties of them as a generalization of completely semiprime ideals in …

T المقاسات الرفع المجوفة من النمط Page 1 Yaseen and Elewi Iraqi Journal of Science, 2019, Vol.60,
No.11, pp: 2486-2489 DOI: 10.24996/ijs.2019.60.11.20 …

In this paper, we introduce the notion of $ S $-$ M $-cyclic submodules, which is a
generalization of the notion of $ M $-cyclic submodules. Let $ M, N $ be right $ R $-modules …

Let R be a commutative ring with identity, S be a multiplicatively closed subset of R, and M
be an R-module. A submodule N of M is called coidempotent if N=((0: M Ann R 2 (N)). Also …

Abstract We introduced (R, S)-modules as a generalization of bimodule structures.
Moreover, we presented the ways to study primalities of (R, S)-submodules, which we called …

Let $ R $ be a commutative ring with identity and $ M $ be an $ R $-module. The main
purpose of this paper is to introduce and investigate the notion of classical and strongly …

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 2-irreducible submodule if whenever N= H1∩ H2∩ H3 for submodules …

In this paper, we introduce and study a new class of submodules which unify the concepts of
prime and primary submodules. Let M be a unital module over a commutative ring R, ϕ: L …