On almost semiprime submodules

F Farzalipour - Algebra, 2014 - Wiley Online Library
We introduce the concept of almost semiprime submodules of unitary modules over a
commutative ring with nonzero identity. We investigate some basic properties of almost …

On almost prime submodules

HA Khashan - Acta Mathematica Scientia, 2012 - Elsevier
In this article, we define almost prime submodules as a new generalization of prime and
weakly prime submodules of unitary modules over a commutative ring with identity. We …

[PDF][PDF] A note on uniformly primary submodules

RE Atani, SE Atani - Novi Sad J. Math, 2008 - academia.edu
We introduce the concept of" uniformly primary submodules" of a module over a
commutative ring R, which generalizes the concept of" uniformly primary ideals" of R, a …

On classical weakly prime submodules

M Jamali, R Jahani-Nezhad - Facta Universitatis, Series …, 2022 - casopisi.junis.ni.ac.rs
The aim of this paper is to introduce the concept of classical weakly prime submodules
which is the generalization of the notion of weakly classical prime submodules to modules …

[PDF][PDF] On almost 2-absorbing primary sub-modules

AE Ashour, MM Al-Ashker, OA Naji - IUG J. Nat. Stud, 2017 - researchgate.net
Let R be a commutative ring with identity and M be a unitary R-module, In this paper we
introduce the concept of almost 2-absorbing primary submodules as a new generalization of …

Semiprime submodules of a module and related concepts

SC Lee, R Varmazyar - Journal of Algebra and Its Applications, 2019 - World Scientific
In this paper, we consider the notion of semiprime submodules, which is a natural
generation of semiprime ideals. The main purpose of this paper is to give local-global …

Some Properties of S‐Semiannihilator Small Submodules and S‐Small Submodules with respect to a Submodule

F Farzalipour, S Rajaee, P Ghiasvand - Journal of Mathematics, 2024 - Wiley Online Library
Let R be a commutative ring with nonzero identity, S⊆ R be a multiplicatively closed subset
of R, and M be a unital R‐module. In this article, we introduce the concepts of S …

On Small Semiprime Submodules

HA Ramadhan, NSA Mothafar - Journal of Physics: Conference …, 2021 - iopscience.iop.org
Let R be a commutative ring with identity, and M be unital (left) R-module. In this paper we
introduce and study the concept of small semiprime submodules as a generalization of …

[PDF][PDF] Quasi-Multiplication Modules

F Farzalipour, P Ghiasvand - Thai J. of Math, 2009 - thaijmath2.in.cmu.ac.th
In this paper we study weakly prime submodules of a module over a commutative ring with
identity. First, a number of results concerning weakly prime submodules are given. Second …

[PDF][PDF] On weakly primary submodules

AE Ashour - 2011 - researchgate.net
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 …