Baer's lower nilradical and classical prime submodules
E Yılmaz, S Kılıçarslan Cansu - Bulletin of the Iranian …, 2014 - bims.iranjournals.ir
Let $ N $ be a submodule of a module $ M $ and a minimal primary decomposition of $ N $
is known. A formula to compute Baer's lower nilradical of $ N $ is given. The relations …
is known. A formula to compute Baer's lower nilradical of $ N $ is given. The relations …
[PDF][PDF] Notes on the primal submodules
In this note, we will make an intensive study of the notion of primal submodules of a module
over a commutative ring with identity. First, a number of results concerning of primal …
over a commutative ring with identity. First, a number of results concerning of primal …
Strongly prime near-ring modules
S Juglal, NJ Groenewald - Arabian Journal for Science and Engineering, 2011 - Springer
We introduce the notion of a strongly prime near-ring module and then characterize strongly
prime near-rings in terms of strongly prime modules. Furthermore, we define a T-special …
prime near-rings in terms of strongly prime modules. Furthermore, we define a T-special …
On Generalizations of Essential and Small Submodules.
MD Cissé, D Sow - Southeast Asian Bulletin of Mathematics, 2017 - search.ebscohost.com
We introduce and study the concept of D-essential submodules and its dual concept, F-small
submodules, where D and F are arbitrary submodules of a module M. These two notions are …
submodules, where D and F are arbitrary submodules of a module M. These two notions are …
[PDF][PDF] On semi-essential submodules
MA Ahmed, MR Abbas - Ibn AL-Haitham Journal For Pure and Applied …, 2017 - iasj.net
Let R be a commutative ring with identity and let M be a unitary left R-module. The purpose
of this paper is to investigate some new results (up to our knowledge) on the concept of semi …
of this paper is to investigate some new results (up to our knowledge) on the concept of semi …
[PDF][PDF] 2-absorbing and weakly 2-absorbing submodules
AY Darani, F Soheilnia - Thai J. Math, 2011 - thaijmath2.in.cmu.ac.th
Let R be a commutative ring with a nonzero identity and let M be a unitary R-module. We
introduce the concepts of 2-absorbing and weakly 2-absorbing submodules of M and give …
introduce the concepts of 2-absorbing and weakly 2-absorbing submodules of M and give …
[PDF][PDF] Nearly 2-Absorbing Submodules and Related Concepts
RT Abdulqader, SM Rajab - Tikrit Journal of Pure Science, 2018 - iasj.net
Throughout this note R is commutative ring with identity, and X be a left unitary R-module. A
proper submodule K of an R-module X is called nearly prime, if whenever implies that either …
proper submodule K of an R-module X is called nearly prime, if whenever implies that either …
ON 𝜙-SEMIPRIME SUBMODULES
M Ebrahimpour, F Mirzaee - Journal of the Korean Mathematical …, 2017 - koreascience.kr
Let R be a commutative ring with non-zero identity and M be a unitary R-module. Let S (M)
be the set of all submodules of M and ${\phi}: S (M){\rightarrow} S (M){\cup}\{{\emptyset}\} …
be the set of all submodules of M and ${\phi}: S (M){\rightarrow} S (M){\cup}\{{\emptyset}\} …
Strongly prime submodules
AR Naghipour - Communications in Algebra, 2009 - Taylor & Francis
Let R be a commutative ring with identity. For an R-module M, the notion of strongly prime
submodule of M is defined. It is shown that this notion of prime submodule inherits most of …
submodule of M is defined. It is shown that this notion of prime submodule inherits most of …
[PDF][PDF] St-Polyform modules and related concepts
MA Ahmed - Baghdad Science Journal, 2018 - iasj.net
In this paper, we introduce a new concept named St-polyform modules, and show that the
class of Stpolyform modules is contained properly in the well-known classes; polyform …
class of Stpolyform modules is contained properly in the well-known classes; polyform …