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 …

On semiprime submodules

B Saraç - Communications in Algebra, 2009 - Taylor & Francis
Full article: On Semiprime Submodules Skip to Main Content Taylor and Francis Online
homepage Browse Search Publish Login | Register Log in or Register Login Register Cart Add …

[PDF][PDF] QUASI− SEMIPRIME SUBMODULES.

NS Al-Mothafar, MBH Alhakeem - International Journal, 2016 - researchgate.net
A submodule of an R-module M which Dauns 1 was named semiprime submodules that
they are generalized of semiprime ideals, which get big importance at last years, many …

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 …

[PDF][PDF] 𝐽− Semiprime Submodules

NS Al-Mothafar, IA Athab - International Journal of Science and …, 2017 - researchgate.net
Let 𝑅 be a commutative ring with identity and 𝑀 is an R-module, Danus [2] was named
semiprime submodules that they are generalized of semiprime ideals, which get a big …

A note on primary-like submodules of multiplication modules

H Fazaeli Moghimi, F Rashedi… - Journal of Algebra and …, 2014 - jart.guilan.ac.ir
Primary-like and weakly primary-like submodules are two new generalizations of primary
ideals from rings to modules. In fact, the class of primary-like submodules of a module lie …

[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 …

[PDF][PDF] On prime and semiprime submodules of multiplication modules

R Jahani-Nezhad, MH Naderi - International Mathematical Forum, 2009 - m-hikari.com
Let R be a commutative ring. An R-module M is called a multiplication module if for each
submodule N of M, N= IM, for some ideal I of R. In this paper, first we define the notion of …

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 …

[引用][C] Generalizations of -semiprime submodules

P Ghiasvand, F Farzalipour - Asian-European Journal of …, 2023 - World Scientific
Let R be a commutative ring with non-zero identity, S⊆ R a multiplicatively closed subset of
R and M a unital R-module. In this paper, we introduce the concepts of S-almost semiprime …