⊕-J-supplemented modules
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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.
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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.
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Publication Date
Mon Mar 01 2021
Journal Name
Journal Of Physics: Conference Series
J-semi regular modules
Abstract<p>Let <italic>R</italic> be a ring with identity and let <italic>M</italic> be a left R-module. <italic>M</italic> is called J-semiregular module if every cyclic submodule of <italic>M</italic> is J-lying over a projective summand of <italic>M</italic>, The aim of this paper is to introduce properties of J-semiregular module Especially, we give characterizations of J-semiregular module. On the other hand, the notion of J-semi hollow modules is studied as a generalization of semi hollow modules, finally <italic>F</italic>-J-semiregular modules is studied as a generalization of <italic>F</italic>-semiregular modules.</p>
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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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Publication Date
Sat Jun 27 2020
Journal Name
Iraqi Journal Of Science
Quasi J-Regular Modules
J-pure submodules
quasi J-pure submodules
J-regular modules
quasi J-regular modules
Throughout this note, R is commutative ring with identity and M is a unitary R-module. In this paper, we introduce the concept of quasi J- submodules as a – and give some of its basic properties. Using this concept, we define the class of quasi J-regular modules, where an R-module J- module if every submodule of is quasi J-pure. Many results about this concept
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Publication Date
Wed Mar 27 2019
Journal Name
Iraqi Journal Of Science
Properties of J- Regular modules
pure submodules
J-pure submodules
regular modules
J-regular modules
The present study introduces the concept of J-pure submodules as a generalization of pure submodules. We study some of its basic properties and by using this concept we define the class of J-regular modules, where an R-module M is called J-regular module if every submodule of M is J-pure submodule. Many results about this concept are proved
Publication Date
Wed May 25 2022
Journal Name
Iraqi Journal Of Science
F-J-semi Regular Modules
F-J- semi regular modules
R-F-J- semi regular modules
F-Jacobson hollow semi regular modules
CF-J-semi regular modules
Let be a ring with identity and let be a left R-module. If is a proper submodule of and , is called --semi regular element in , If there exists a decoposition such that is projective submodule of and . The aim of this paper is to introduce properties of F-J-semi regular module. In particular, its characterizations are given. Furthermore, we introduce the concepts of Jacobson hollow semi regular module and --semiregular module. Finally, many results of Jacobson hollow semi regular module and --semiregular module are presented.
Publication Date
Sat Jan 01 2022
Journal Name
Iraqi Journal Of Science,
Publication Date
Sun Jan 01 2023
Journal Name
Aip Conference Proceedings
Publication Date
Sat Jun 27 2020
Journal Name
Iraqi Journal Of Science
Supplemented and π-Projective Semimodules
Semimodule
supplemented semimodule
Ï€-projective semimodule
lies above a direct summand
coclosed semimodule
In modules there is a relation between supplemented and π-projective semimodules. This relation was introduced, explained and investigated by many authors. This research will firstly introduce a concept of "supplement subsemimodule" analogues to the case in modules: a subsemimodule Y of a semimodule W is said to be supplement of a subsemimodule X if it is minimal with the property X+Y=W. A subsemimodule Y is called a supplement subsemimodule if it is a supplement of some subsemimodule of W. Then, the concept of supplemented semimodule will be defined as follows: an S-semimodule W is said to be supplemented if every subsemimodule of W is a supplemen
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