Let R be a commutative ring with identity and M be a unitary R- module. We shall say that M is a primary multiplication module if every primary submodule of M is a multiplication submodule of M. Some of the properties of this concept will be investigated. The main results of this paper are, for modules M and N, we have M N and HomR (M, N) are primary multiplications R-modules under certain assumptions.
The main goal of this paper is introducing and studying a new concept, which is named H-essential submodules, and we use it to construct another concept called Homessential modules. Several fundamental properties of these concepts are investigated, and other characterizations for each one of them is given. Moreover, many relationships of Homessential modules with other related concepts are studied such as Quasi-Dedekind, Uniform, Prime and Extending modules.
Let R be an associative ring with identity, and let M be a unital left R-module, M is called totally generalized *cofinitely supplemented module for short ( T G*CS), if every submodule of M is a Generalized *cofinitely supplemented ( G*CS ). In this paper we prove among the results under certain condition the factor module of T G*CS is T G*CS and the finite sum of T G*CS is T G*CS.
Tigris and Euphrates Rivers, originating in Turkey and cutting through both Syria and Iraq, have experienced drastic reductions in water flows in recent years due to increasing water demand, hydro-engineering projects, and climate change. The decline in water flows has led to decreased agricultural yields. Iraq reported its worst cereal harvest in a decade in 2009, indicating that with a decline in water supplies, a potential food security problem emerges. This study, therefore, addressed the effect of water availability on (1) Net Primary Productivity (NPP) and (2) Rain Use Efficiency (RUE) in the Tigris-Euphrates (T-E) basin. Results displayed that NPP increases significantly from the arid and semi-arid sites in the south to the wetter
... Show MoreIncluded a research problem , pointing to deficiencies and neglect in Arabic language teaching in primary and middle school , what makes sense to form your linguistic Bell ( Listening ) is missing , especially grammar, vocabulary endings .
And stressed the importance of research that teaching students the Arabic language is the balance of the next life , and that any defect infects will demolish an important part of their structure and the fact that the theater is a form of human directcommunication , and it`s way is the word this helps students to develop some communication skills , and language the backbone of these skills ,1- The research sample was identified in all age children ( 6-12 ), which c
... Show MoreBackground: A basic knowledge and understanding
of first aid can be invaluable for individuals to be
able to provide emergency care in the event of an
accident, possibly saving lives and minimizing
injury. Since injury is the fifth leading cause of death
and children at the age of primary school are liable
for accidents and lack of knowledge and good
judgment of their teachers may lead to dangerous
consequences when emergencies occur. Training
teachers how to deal with accidents is of obvious
importance.
Objectives: To estimate the adequacy of primary
school teachers’ knowledge of first aid concerning
external bleeding and fractures and Whether there's a
difference in knowledge in regard to yea
Motivation is one of the most important factors that influence students learning and has a great effect on their success and achievement. For this reason, in this paper, the researcher is going to investigate the motivational teaching strategies used by EFL Iraqi school teachers. To achieve the aim of the study, the researcher adapted a questionnaire with some changes and modification’s. This questionnaire with five point scale (always, often, sometimes, rarely and never). To achieve face validity, the questionnaire items are given to a jury of experts. Alpha Cronbach formula is used to achieve the questionnaire reliability. After that, the questionnaire was applied on a sample of 38 teachers during the academic year 2019-2020. Th
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The teacher is the most able to achieve the goals of education in education because he has the ability to affect the behavior of the disciples testified and its actions and appearance and other actions that convey pupils with it sometimes in a manner unconscious or unconscious , and the importance of the role of the teacher in the educational process , it is necessary to compromise the care and attention to the extent that commensurate with the important role that the rise in the preparation of youth and composition , and as a result is needed to continue efforts to improve the quality of teacher preparation so that it can be more effective and positive in the educational process .
First - Research Goals -<
Background:This is a prospective study of three children presented to us in the Orbital clinic in AL ShahidGazi Al Hariri Hospital with painless proptosiswith suspension of Hydatid disease.Objectives: : Orbital hydatid disease is a rare lesion accounting for less than 1% of the total lesions of the body (1, 2). Orbital cysts presented as a primary lesion in our study which is rare to have such lesion without involvement of other organs (3). Humans represent the intermediate host where the commonly affected organ are liver and the lung (10-15%) (4). Methods:This is a prospective study of three Children presented to us in the Orbital clinic in Al Shahid Ghazi Alhariri Hospital with painless proptosis with suspension of Hydatid disease, dep
... Show MoreIn this paper, we introduce the concept of s.p-semisimple module. Let S be a semiradical property, we say that a module M is s.p - semisimple if for every submodule N of M, there exists a direct summand K of M such that K ≤ N and N / K has S. we prove that a module M is s.p - semisimple module if and only if for every submodule A of M, there exists a direct summand B of M such that A = B + C and C has S. Also, we prove that for a module M is s.p - semisimple if and only if for every submodule A of M, there exists an idempotent e ∊ End(M) such that e(M) ≤ A and (1- e)(A) has S.
Abstract In this work we introduce the concept of approximately regular ring as generalizations of regular ring, and the sense of a Z- approximately regular module as generalizations of Z- regular module. We give many result about this concept.