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RELATIONSHIP OF ESSENTIALLY SEMISMALL QUASI-DEDEKIND MODULES WITH SCALAR AND MULTIPLICATION MODULES

Let R be a ring with 1 and W is a left Module over R. A Submodule D of an R-Module W is small in W(D ≪ W) if whenever a Submodule V of W s.t W = D + V then V = W. A proper Submodule Y of an R-Module W is semismall in W(Y ≪_S W) if Y = 0 or Y/F ≪ W/F ∀ nonzero Submodules F of Y. A Submodule U of an R-Module E is essentially semismall(U ≪es E), if for every non zero semismall Submodule V of E, V∩U ≠ 0. An R-Module E is essentially semismall quasi-Dedekind(ESSQD) if Hom(E/W, E) = 0 ∀ W ≪es E. A ring R is ESSQD if R is an ESSQD R-Module. An R-Module E is a scalar R-Module if, ∀ , ∃ s.t V(e) = ze ∀ . In this paper, we study the relationship between ESSQD Modules with scalar and multiplication Modules. We show that if E is scalar semismall quasi-prime R-Module. Then E is an ESSQD R-Module, we show that if E is faithful multiplication R-Module, thus E is an essentially semismall prime R-Module iff R is an ESSQD ring

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Publication Date
Fri Jan 20 2023
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Quasi Semi and Pseudo Semi (p,E)-Convexity in Non-Linear Optimization Programming

The class of quasi semi -convex functions and pseudo semi -convex functions are presented in this paper by combining the class of -convex functions with the class of quasi semi -convex functions and pseudo semi -convex functions, respectively. Various non-trivial examples are introduced to illustrate the new functions and show their relationships with -convex functions recently introduced in the literature. Different general properties and characteristics of this class of functions are established. In addition, some optimality properties of generalized non-linear optimization problems are discussed. In this generalized optimization problems, we used, as the objective function, quasi semi -convex (respectively, strictly quasi semi -convex

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Publication Date
Wed Jul 28 2021
Journal Name
Journal Of Legal Sciences
The Quasi-Contract in the English Law. A Comparative Study with the Unjustly Paid in the Iraqi Civil Law

Quasi-contract is considered as one of the well-established legal systems of the English Common law of customary origins, which is unwritten and based upon judicial precedents of the English courts. It is worth-bearing in mind that the legal basis of quasi-contract passed into two different stages: in the first stage the English judicature, supported by some juristic opinions regarded it as an implied Contract made by courts to prevent one party from being unjustly enriched at the expense of the other. Whereas in the second stage the English judicature considered it as an independent source of obligation، based upon the law of restitution. and having nothing to do with the law of contract. The Iraqi civil law No. (40) of 1951 regulated

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Publication Date
Sat Feb 09 2019
Journal Name
Journal Of The College Of Education For Women
Emotional Reassurance and its relationship with family climate at the students of kindergarten Department

The research aims to identify the level of emotional reassurance and level of family climate at
the students of kindergarten Department.
Search tool :
The two researchers built a measure of emotional reassurance and consisting of (26) items and
the scale of family climate consisting of (30 ) items .
The applied Statistical methods:
The two researchers used the statistical bag spss and they used t-test and Pearson correlation
coefficient and analysis of variance and Alpha -Cronbach .
The results showed : The students of kindergarten Department have a high level of
emotional reassurance and good family climate and there is a relationship between emotional
reassurance and family climate .
The two researchers

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Publication Date
Fri Nov 01 2019
Journal Name
Advances In Intelligent Systems And Computing
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Publication Date
Sun Jul 06 2014
Journal Name
Journal Of Educational And Psychological Researches
The Intellectual Stress and Its Relationship with Personality' s Five Major Factors of Counselors

The current study aims at identifying:

1-The intellectual stress of counselors according to gender variable (male, female ).

2-The five major  factors of the  Counselor's  Personality.

3-  The relationship between intellectual stress and the five major factors of the councilors' personality and according to gender variable (male, female ).

4-The significant differences in the relationship between intellectual stress and the five major factors of the councilors' personality and according to gender variable  (male, female ).

The sample of the study includes (260) counselors (130 male

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Publication Date
Mon Jan 28 2019
Journal Name
Journal Of The College Of Education For Women
Enlightenment of scientific knowledge at the kindergarten teachers and its relationship with some variables

A kindergarten teacher is one of the most important elements in the educational process, since she is totally relied upon in kindergartens. Therefore, she could have basic and healthy characteristics to improve the educational process by directing the child towards a perfect growing upEducating and raising up a child should be an organized process that makes desirable changes in the child’s behavior in order to improve different sides of his personality, such as his appearance side, his mental side, and his social side.
This research aims at:
1- Measuring the scientific brilliance in kindergarten teachers.
2- Investigating the statistical significant differences of the scientific brilliance among kindergarten teachers in accor

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Publication Date
Sun Feb 03 2019
Journal Name
Journal Of The College Of Education For Women
Thinking Styles And Its Relationship With The Need for Cognitive for Students of University

This study aims to recognize the most common thinking styles and level of the need for cognitive university students , the relation between thinking styles and the need for cognitive, and there are differences according to gender .The sample consists of (250) males and females university students for the academic year (2013-2014), and the researcher uses two scales;" thinking styles scale (Harison &Bramson, 1986), and the need for cognitive scale" (Cacioppo, Petty & Kao , 1996).
The results show that there is difference in the range of the prevalence of the thinking styles among university students , the scientific thinking style is the most common , the students have got the arrange level of the need for cognitive , and there

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Publication Date
Mon Apr 04 2022
Journal Name
Journal Of Educational And Psychological Researches
Fear of Intimacy and its Relationship with Post-Traumatic Stress Disorder among Yazidis Women

The current research aims to identify the fear of intimacy and post-traumatic stress disorder among Yazidi women and the correlation between them. To achieve the objectives of the research, the researcher adopted the Descutner, 1991 & (Thelen) scale, which consisted of (35) items. The researcher also adopted the post-traumatic stress disorder scale for (Davidson, 1995) translated by (Abdul Aziz Thabet), which consists of (17) items. These two scales were administered to a sample of (200) individuals. Then, the researcher analyzes the data using the Statistical Package for Social Sciences (SPSS). The results showed that the research sample of Yazidi women has a fear of intimacy. The research sample of Yazidi women is characterized by

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Publication Date
Wed Nov 20 2024
Journal Name
Journal Of Physical Education
Teaching competencies and Their Relationship With Work Satisfaction of physical educators In Baghdad governorate

The study aimed to identify the degree of teaching competencies and job satisfaction of the teachers of physical education in the province of Baghdad, and then find the relationship between them. Use the descriptive approach in the style of associative relationships, the research community represented by teachers of physical education in the departments of education Karh (first, second, third) in the province of Baghdad. (522) teachers and (324) school principals distributed in (324) medium within the administrative configurations of these directorates for the academic year (2016 - 2017). The measure (teaching competencies) included (47) words distributed across seven areas. And the measure of (job satisfaction) included (15) words. After t

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Publication Date
Tue Feb 05 2019
Journal Name
Journal Of The College Of Education For Women
Educational Adequacies of Kindergartens’ Teachers and its Relationship with Culturing Child of Kindergarten with Life Environmental Skills – Fieldwork Study

The current research includes several axes, which determine the basic professional skills among kindergarten teachers and government civil Balraudhat and their relationship to educate kindergarten children with life skills teacher Albaiah.boattabar his career. And this profession imposes upon that possesses special skills, qualify him to do his roles. The teacher experimenter, researcher and owner of philosophy and organizer and director of the positions and educational director of the interactions of classroom and non-classroom. And educational systems that are responsible for the preparation of the emerging needs constant review in order to improve internal Kvaiadtha select the best input consistent with the reality of education, so as

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