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.

In this notion we consider a generalization of the notion of a projective modules , defined using y-closed submodules . We show that for a module M = M1M2 . If M2 is M1 – y-closed projective , then for every y-closed submodule N of M with M = M1 + N , there exists a submodule M`of N such that M = M1M`.

الاهمية الاقتصادية للموانىء الحرة مع الاشارة الى المنطقة الاقتصادية الحرة المقترحة في ميناء الفاو

The investigation of determining solutions for the Diophantine equation  over the Gaussian integer ring for the specific case of  is discussed. The discussion includes various preliminary results later used to build the resolvent theory of the Diophantine equation studied. Our findings show the existence of infinitely many solutions. Since the analytical method used here is based on simple algebraic properties, it can be easily generalized to study the behavior and the conditions for the existence of solutions to other Diophantine equations, allowing a deeper understanding, even when no general solution is known.

Despite all the possibilities, owned by Iraq for the production of fish, but there is low in the level of production and in the rate of per capita consumption is due to inter alia, the weakness of investment, stop government support, a significant decline in the quantities of water, the high proportion of salinity and the proportion of pollution in the water, the use of means and fishing methods are primitive, weak laws and legislation, the policy of dumping markets imported products. Despite all this research has shown that there are investment opportunities very large in this sector through the size of the market and the absorptive capacity and the growth of per capita income and cultural revelation

       ابو الفرج رونی از استادان شعر فارسی در دوره دوم غزنوی است.او در میان شاعران  ابو الفرج خیلی زودتر از دیگر شاعران  عصر خود متوجه نو کردن سبک سخن گردید چنان که میان روش او  وروش  معاصرانش از قبیل عثمان و مسعود سعد و معزی و نظایر آنان اختلافات فراوان وجود دارد. او طرز شعر دورهء اول غزنوی را که باید آن را سبک تکامل یافتهء دوره سامانی شمرد،  به دور افکند ، وطریقه ای جدید  پدید آورد. پژ

This research aims to analyze the indicators of spatial variation in the guide of health field in both Al-Adhamiyah and Rusafa districts according to the environmental and administrative units in 2016. The analysis was done by groups of health guide indicators. The objectives of the study were to identify the spatial variation of health services and assess the health situation for families following the environmental and administrative units of the studied area. Such objectives can be done by specifying the extent of the families’ consent to the type of services, measuring the cases of deprivation, and identifying the most deprived areas. The study has finally concluded that there is a clear spatial variation between the indicators and

In this paper, we develop the work of Ghawi on close dual Rickart modules and discuss y-closed dual Rickart modules with some properties. Then, we prove that, if are y-closed simple -modues and if -y-closed is a dual Rickart module, then either Hom ( ) =0 or . Also, we study the direct sum of y-closed dual Rickart modules.

Background:

Uno de los rasgos más interesantes sobre España es la diversidad de sus lenguas, y aunque la mayoría de los españoles hablan español, pero una gran parte de la población es bilingüe y en algunas ocasiones, trilingüe. Hoy en día estas lenguas se usan y conviven juntas sin grandes problemas, aunque durante mucho tiempo esta convivencia ha sido muy complicada. Asi que el propósito de nuestro trabajo es enfocar la luz sobre la situación linguística actual de España.
Al estudiar la situación linguística de España encontramos que las lenguas son instrumentos vivos y dinámicos, inseparables de su propia historia, dos realidades, su pasado y su presente, que van conformando su propia estructura y su propio dominio lingüísti