In this paper, we introduce and study the essential and closed fuzzy submodules of a fuzzy module X as a generalization of the notions of essential and closed submodules. We prove many basic properties of both concepts.

Summary
This research is included in the study of one of the most important rules of jurisprudence, which is (necessity descends the status of necessity, controls and applications) branching from the major rule (hardship brings facilitation) and since the jurisprudential rule is defined as knowledge of a total or majority rule that applies to all its parts. He has to know all the branches that fall under him, which leads to understanding Sharia, controlling jurisprudential issues and linking them to its rules, so that no contradiction occurs, and he has the jurisprudential faculty that he promotes in consideration and diligence. And what is meant by need: is what is lacking in terms of expansion and raising the distress that often lea

Countries have faced the challenges of high levels of public debt and seek to define the optimum limits to reduce risks to which the financial system can be exposed and its impact on the economy as a whole. Hence the importance of research in studying the impact of internal and external public debt components on indicators of stability of the financial system for the period 2005-2017 for the purpose of knowing the extent of the financial stability indicators response to the high level of the public debt from its optimum ratio, as the aim of the research is to estimate and analyze the dynamic relationship of short and long term between the components of public debt and indicators of financial stability using the (ARDL) model that

The values of fmgerprint angles were studied in 57 females and 44 males from Najaf province in the m iddle of Iraq. Some results of tlus sample were compared with the results of Southern provinces sample from Iraq i population.

The  rCS\tlts  revealed that the mean of  maximum fingerprint angle (MFA) and also the mean of absolute fingerprint angle (AFA) between samples in the studied provinces did nnt differ significantly. However, the unilateral analysis revealed only one significant diOerence in LS of  the male samples (r-2.89,  P<O.Ol), while the bilateral analysis revealed two significant differences, wluch occurred in Rl and R3 of the right hand.

As lbr the compari son between sexes of the

Bentonite is widely used in industrial applications. The present study reports the effect of adding different weights of ZnO to the Iraqi bentonite, on surface area, pore volume and real density. These surface properties were evaluated for pure and modified bentonite. The modification was made by adding different ZnO weights such as; ( 0.5%, 1%, 5%, 10% ). The effect of heat exposing for all modified clay samples at 500 ?C have been also evaluated. The results show that the addition of 0.5% ZnO leads to increase the surface area percentage about 36%, increase pore volume percentage about 5.48% and increase the real density percentage about 27.116%. When the samples exposed to 500 ?C, their surface area and pore volumes have been decreased a

we applied the direct product concept on the notation of intuitionistic fuzzy semi d-ideals of d-algebra with investigation some theorems, and also, we study the notation of direct product of intuitionistic fuzzy topological d-algebra.

As the child is growing up, he goes through different phases which will be accompanied by physical and psychological changes. These changes set the basis for processes of designing and making children's clothes which in turn give its required benefits and meet the physiological, psychological and community needs. That will help provide the child with healthy physical and psychological growth.
The aim of this research is to recognize the decoration of clothes by colors and drawings and its role in clothes' richness and children's education. The research limits are objective, The limits are for female (3-5) years old. The research was done in teaching kindergarten in the college of education for women in 2016. The researchers found many

Most studies combine that it is important to determine the extent of the public's trust TV for two reasons. First of knowing the impact of satellite TV audience ranges and the second determining public outlets for Information Find regard to the extent of the public's confidence in knowing the contents of the satellite during the occupation of Mosul crisis by organizing the Islamic state in Iraq and the Levant And the researcher developed a questionnaire to find out the public's confidence statement satellite contents provided by the questions related to exposandscale.

     The researcher audience chose the city of Baghdad to the suitabil