e*-Hollow-Lifting and Cofinitely e*-Lifting Modules
Publication Date
Fri May 01 2020
Journal Name
Journal Of Physics: Conference Series
On J–Lifting Modules
Abstract<p>Let R be a ring with identity and M is a unitary left R–module. M is called J–lifting module if for every submodule N of M, there exists a submodule K of N such that <inline-formula>
<tex-math><?CDATA ${\rm{M}} = {\rm{K}} \oplus \mathop {\rm{K}}\limits^\prime,\>\mathop {\rm{K}}\limits^\prime \subseteq {\rm{M}}$?></tex-math>
<math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="block" overflow="scroll">
<mrow>
<mi mathvariant="normal">M</mi>
<mo>=</mo>
<mi mathvariant="normal">K</mi></mrow></math></inline-formula></p>
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(4)
Publication Date
Thu Feb 28 2019
Journal Name
Iraqi Journal Of Science
On µ-lifting Modules
µ-coessential sub modules
µ-lifting modules
Let R be a ring with identity and let M be a left R-module. M is called µ-lifting modulei f for every sub module A of M, There exists a direct summand D of M such that M = D D', for some sub module D' of M such that A≤D and A D'<<µ D'. The aim of this paper is to introduce properties of µ-lifting modules. Especially, we give characterizations of µ-lifting modules. On the other hand, the notion of amply µ-supplemented iis studied as a generalization of amply supplemented modules, we show that if M is amply µ-supplemented such that every µ-supplement sub module of M
... Show MorePublication Date
Tue Jan 04 2022
Journal Name
Iraqi Journal Of Science
Generalized Radical Lifting Modules
G-Rad-Lifting
Lifting
In this paper we introduce G-Rad-lifting module as aproper generalization of lifting module, some properties of this type of modules are investigated. We prove that if M is G-Rad- lifting and
, then
, and
are G-Rad- lifting, hence we Conclude the direct summand of G-Rad- lifting is also G-Rad- lifting. Also we prove that if M is a duo module with
and
are G- Rad- lifting then M is G-Rad- lifting.
Publication Date
Sun Apr 30 2023
Journal Name
Iraqi Journal Of Science
Publication Date
Sat Apr 30 2022
Journal Name
Iraqi Journal Of Science
On Large-Lifting and Large-Supplemented Modules
In this paper, we introduce the concepts of Large-lifting and Large-supplemented modules as a generalization of lifting and supplemented modules. We also give some results and properties of this new kind of modules.
(1)
Publication Date
Sat Apr 30 2022
Journal Name
Iraqi Journal Of Science
On Large-Lifting and Large-Supplemented Modules
L-small
L-lifting module
L-supplemented module
In this paper, we introduce the concepts of Large-lifting and Large-supplemented modules as a generalization of lifting and supplemented modules. We also give some results and properties of this new kind of modules.
(1)
Publication Date
Sat Apr 30 2022
Journal Name
European Journal Of Pure And Applied Mathematics
Publication Date
Sun Jan 01 2023
Journal Name
Aip Conference Proceedings
Publication Date
Sat Sep 30 2023
Journal Name
Iraqi Journal Of Science
e*-Extending Modules
essential submodule
closed submodule
extending modules
e*-essential submodule
e*-closed submodule
e*-extending modules
e*-coclosed submodule
This paper aims to introduce the concepts of -closed, -coclosed, and -extending modules as generalizations of the closed, coclossed, and extending modules, respectively. We will prove some properties as when the image of the e*-closed submodule is also e*-closed and when the submodule of the e*-extending module is e*-extending. Under isomorphism, the e*-extending modules are closed. We will study the quotient of e*-closed and e*-extending, the direct sum of e*-closed, and the direct sum of e*-extending.
Publication Date
Sat Jan 01 2022
Journal Name
Int. J. Nonlinear Anal. Appl.