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T-Small Quasi-Dedekind modules
Abstract<p>Let Q be a left Module over a ring with identity ℝ. In this paper, we introduced the concept of T-small Quasi-Dedekind Modules as follows, An R-module Q is T-small quasi-Dedekind Module if, <inline-formula> <tex-math><?CDATA $\forall \,w\,\in En{d}_{R}(Q),\,w\ne 0$?></tex-math> <math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mrow> <mo>∀</mo> <mspace width="0.25em"></mspace> <mi>w</mi> <mspace width="0.25em"></mspace> <mo>∈</mo> <mi>E</mi> <mi>n</mi> <msub> <mi>d</mi> <mi>R</mi> </msub> <mo stretchy="false">(</mo> <mi>Q</mi> <mo stretchy="false">)</mo> <mo>,</mo> <mspace width="0.25em"></mspace> <mi>w</mi> <mo>≠</mo> <mn>0</mn> </mrow> </math> <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JPCS_1963_1_012029_ieqn1.gif" xlink:type="simple"></inline-graphic> </inline-formula> then Ker w ≪<sub>T</sub> Q. Also, we illustrate it by examples and give basic properties.</p>
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Publication Date
Mon Mar 01 2021
Journal Name
Journal Of Physics: Conference Series
On Large-Small submodule and Large-Hollow module
Abstract<p>The goal of this research is to introduce the concepts of Large-small submodule and Large-hollow module and some properties of them are considered, such that a proper submodule N of an R-module M is said to be Large-small submodule, if N + K = M where K be a submodule of M, then K is essential submodule of M ( K ≤<sub>e</sub> M ). An R-module M is called Large-hollow module if every proper submodule of M is Large-small submodule in M.</p>
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Publication Date
Sun Apr 03 2016
Journal Name
Journal Of Educational And Psychological Researches
Educational values prevailing in small games for kindergarten

The research aims to identify the educational values prevailing in the small kinetic games for the children of Riyadh, and to categorize the educational values of the kinetic games small children Riyadh. The research analyzed the content of a number of small kinetic games that included studied physical education at the two pre-kindergarten and stipulated by the Platform for kindergartens, which is being applied. The content analysis was used by analysts agreement with themselves over time (21) days. The agreement between the external researcher and analyst. The researcher used the Cooper to extract equation lab agreement between the researcher and the outside analyst, has reached agreement on determining factor idea and label values (0.8

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Publication Date
Sat Sep 30 2017
Journal Name
College Of Islamic Sciences
The small provisions of his upbringing and manners

Praise be to Allah, Lord of the Worlds, and peace and blessings be upon our master Muhammad and his good and pure family. At the end of this research, we summarize some of the most important findings of our research, namely:
Raising a child properly from childhood leads to integrity in the life of the individual society, and if the young raised bad education, this education will affect itself and society negatively, so on parents and government institutions in any country to take care of children, and Islamic countries Specifically to give the child great attention; he is raised on the Koran and watered from its fountains, and armed with a weapon of morality from a young age, and to understand the biography of Mustafa (peace be upon h

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Publication Date
Sat Mar 06 2010
Journal Name
J. Of University Of Anbar For Pure Science
Some Results on Epiform Modules

The concept of epiform modules is a dual of the notion of monoform modules. In this work we give some properties of this class of modules. Also, we give conditions under which every hollow (copolyform) module is epiform.

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Publication Date
Thu Nov 17 2022
Journal Name
Journal Of Discrete Mathematical Sciences And Cryptography
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Publication Date
Sat Jan 01 2022
Journal Name
Int. J. Nonlinear Anal. Appl.
Publication Date
Wed Oct 28 2020
Journal Name
Iraqi Journal Of Science
On y-closed Rickart Modules

     In a previous work, Ali and Ghawi studied closed Rickart modules. The main purpose of this paper is to define and study the properties of y-closed Rickart modules .We prove that, Let  and   be two -modules such that  is singular. Then  is -y-closed Rickart module if and only if   Also, we study the direct sum  of  y-closed Rickart modules.

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Publication Date
Wed Aug 31 2022
Journal Name
Iraqi Journal Of Science
2-prime submodules of modules

      Let R be a commutative ring with unity. And let E be a unitary R-module. This paper introduces the notion of 2-prime submodules as a generalized concept of 2-prime ideal, where proper submodule H of module F over a ring R is said to be 2-prime if , for r R and x F implies that  or . we prove many properties for this kind of submodules, Let H is a submodule of module F over a ring R then H is a 2-prime submodule if and only if [N ] is a 2-prime submodule of E, where r R. Also, we prove that if F is a non-zero multiplication module, then [K: F] [H: F] for every submodule k of F such that H K. Furthermore, we will study the basic properties of this kind of submodules.

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Publication Date
Sun May 26 2019
Journal Name
Iraqi Journal Of Science
On H-µ-supplemented modules

Weosay thatotheosubmodules A, B ofoan R-module Moare µ-equivalent , AµB ifoand onlyoif <<µand <<µ. Weoshow thatoµ relationois anoequivalent relationoand hasegood behaviorywith respectyto additionmof submodules, homorphismsr, andydirectusums, weaapplyothese resultsotoointroduced theoclassoof H-µ-supplementedomodules. Weosay thatoa module Mmis H-µ-supplementedomodule ifofor everyosubmodule A of M, thereois a directosummand D ofoM suchothat AµD. Variousoproperties ofothese modulesoarepgiven.

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Publication Date
Wed Mar 27 2019
Journal Name
Iraqi Journal Of Science
Properties of 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

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