Let R be a commutative ring with identity 1 and M be a unitary left R-module. A submodule N of an R-module M is said to be approximately pure submodule of an R-module, if for each ideal I of R. The main purpose of this paper is to study the properties of the following concepts: approximately pure essentialsubmodules, approximately pure closedsubmodules and relative approximately pure complement submodules. We prove that: when an R-module M is an approximately purely extending modules and N be Ap-puresubmodulein M, if M has the Ap-pure intersection property then N is Ap purely extending.

Let R be an associative ring with identity and let M be a unitary left R–module. As a generalization of small submodule , we introduce Jacobson–small submodule (briefly J–small submodule ) . We state the main properties of J–small submodules and supplying examples and remarks for this concept . Several properties of these submodules are given . Also we introduce Jacobson–hollow modules ( briefly J–hollow ) . We give a characterization of J–hollow modules and gives conditions under which the direct sum of J–hollow modules is J–hollow . We define J–supplemented modules and some types of modules that are related to J–supplemented modules and int

In this paper, certain types of regularity of topological spaces have been highlighted, which fall within the study of generalizations of separation axioms. One of the important axioms of separation is what is called regularity, and the spaces that have this property are not few, and the most important of these spaces are Euclidean spaces. Therefore, limiting this important concept to topology is within a narrow framework, which necessitates the use of generalized open sets to obtain more good characteristics and preserve the properties achieved in general topology. Perhaps the reader will realize through the research that our generalization preserved most of the characteristics, the most important of which is the hereditary property. Two t

Urban Balance is one of the important indicators that leads to an assessment of the urbanization process in a particular country  , province or even a city that is multi-centered. By examining  the data related to Anba  province, it was found that the value of this indicator is equal to 0.96, which is less than the absolute one, and therefore the urbanization in the province is distributed collectively  

The development of a mathematical or statistical model for estimating urban growth is a complex process due to the overlap between indicators or variables that can be adopted to calculate estimate growth rates Al-Qaim city has been considered as an example to develop a statistical method by which changes

The research aims to analysis of the current financial crisis in Iraq through knowing its causes and then propose some solutions that help in remedy the crisis and that on the level of expenditures and revenues, and has been relying on the Federal general budget law of the Republic of Iraq for the fiscal year 2016 to obtain the necessary data in respect of the current expenditures and revenues which necessary to achieve the objective of the research , and through the research results has been reached to a set of conclusions which the most important of them that causes of the current financial crisis in Iraq , mainly belonging to increased expenditures and especially the current ones and the lack of revenues , especially non-oil o

في العقود الملزمة للجانبين اذا لم ينفذ احد المتعاقدين التزامه تنفيذا كليا فانه يجوز للمتعاقد الاخر ان يطلب من المحكمة فسخ العقد فسخا كليا ، الا انه قد يقتصر عدم التنفيذ على جزء من التزامه فعندئذ يثار التساؤل الاتي: هل يمكن فسخ العقد فسخا جزئيا ؟ الملاحظ ان هنالك خلافا فقهيا وقضائيا كبيرا حول جواز الفسخ الجزئي ، فالبعض يجيز الحكم بالفسخ الجزئي ، والبعض الاخر لا يجيز الحكم بالفسخ الجزئي، وقد انتهينا الى القول بع

This research deals with the study and investigation of the diwan Al_sheikh (Abu Baker Bin Fityan Al_ Arawdaky) dead 672H) . He is one of the Sufism who was born in (Damascus) and lived there all of his life . this biography is limited and his works would not be found except this diwan which oppears on three copies that can be taken from mannscrpt kept in different libraries .

We thought to investigate this diwan in many de partments , but the best one had been chosen according to its completion .

This diwan is special in letters that can be ordered alphabetically , re ferences contain explanation in addition to mention many words and phrase

Japans expansionist policy begins (Phase I) after the Chinese- Japanese
war in 1895 until end of the Washington conference in 1922 marine. Therefore
sought to implement the expansion program from the effect that get it after
Chinese- Japan war 1894-1895, and the Russo- Japanese conditions of the
first world war to complete its expansion program through the provision of
twenty- one demands and imposed on china.
In (1916-1917) it was signed a secret agreement with Allied power, that
including the German concessions in the far East to Japan legally has already
received official recognition from the international community.
In sum, the Japan during its period of expansion that has becom the first
Asian power tha