Let R is a commutative ring with identity and M is a unital R-module. El-bast and Smith
(1988) have researched and introduced the multiplication module. Prime submodule has …

Let 𝐺 be a module over a commutative ring Ɍ with identity. A proper 𝑠ubmodule 𝛢of 𝐺 is
Strongly Pseudo Nearly_2_Absorbing (denoted by STPN_2_AG) 𝑠ubmodule, if for 𝑎, 𝑏∈ Ɍ …

S-2-Absorbing Second Submodules 1 Introduction Page 1 Journal of Mathematical Extension
Vol. 16, No. 8, (2022) (3)1-24 URL: https://doi.org/10.30495/JME.2022.1690 ISSN: 1735-8299 …

Let $ R $ be a commutative ring with a non-zero identity, $ S $ be a multiplicatively closed
subset of $ R $ and $ M $ be a unital $ R $-module. In this paper, we define a submodule …

Let R be a commutative ring with identity and M be an unitary R-module. Let δ (M) be the set
of all submodules of M, and ψ: δ (M)-→ δ (M)∪{ϕ} be a function. We say that a proper …

In this paper, we study weakly classical 1-absorbing prime submodules of a nonzero unital
module $ M $ over a commutative ring $ R $ having a nonzero identity. A proper submodule …

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, we introduce the notion of $ S $-1-absorbing primary submodule as an
extension of 1-absorbing primary submodule. Let $ S $ be a multiplicatively closed subset of …

Let R be a commutative ring with identity and M an R-module. A proper submodule N of M is
called strongly prime [resp. strongly semiprime], if.. NC Rx/WM/y  N [resp... NC Rx/WM/x  …

In this paper, all rings are commutative with nonzero identity. Let $ M $ be an $ R $-module.
A proper submodule $ N $ of $ M $ is called a classical prime submodule, if for each $ m\in …