In this paper, we introduce and study the notation of approximaitly quasi-primary submodules of a unitary left -module  over a commutative ring  with identity. This concept is a generalization of prime and primary submodules, where a proper submodule  of an -module  is called an approximaitly quasi-primary (for short App-qp) submodule of , if , for , , implies that either  or , for some . Many basic properties, examples and characterizations of this concept are introduced.

In this work, a Photonic Crystal Fiber (PCF) sensor based on the Surface Plasmon Resonance (SPR) technology was proposed. A thin layer of gold (Au) was deposited on a D-shaped Photonic Crystal Fiber (PCF), which was coated with plasmonic chemically stable gold material with a thickness of 40nm. The performance parameters like sensitivity including wavelength sensitivity and amplitude sensitivity and resolution were evaluated by simulation using COMSOL software. The proposed sensor was created by using the finite element approach, it is numerically examined. The results show that the surface of D-shaped Photonic Crystal Fiber coated with Au behaves as a sensor to detect the refractive index (IR) of toxic metal ions. The impacts of the str

Soft tissue sarcomas represent a histologically heterogenous group of malignant tumors arising from the soft tissue compartments, i.e smooth muscles, skeletal muscles, adipose tissue, blood vessels, connective tissue mesenchyme, neural tissue and other tumors of uncertain histogenesis(1). Soft tissue sarcomas are relatively rare tumors, represent less than 1% of adult malignancies based on data report from American Cancer Society (2). The crude incidence rate in Iraq for soft tissue sarcomas was 219/ 100,000 population during 2014 with male: female ratio of 1.3:1, and highest peak age between 30-34 years (3). The histological subtype and microscopic criteria are two parameters that influence the tumor grade which is the best predictor fo

In this paper, we study the concepts of generalized reverse derivation, Jordan
generalized reverse derivation and Jordan generalized triple reverse derivation on -
ring M. The aim of this paper is to prove that every Jordan generalized reverse
derivation of -ring M is generalized reverse derivation of M.

     Our aim in this work is to investigate prime submodules and prove some properties of them. We study the relations between prime submodules of a given module and the extension of prime submodules. The relations between prime submodules of two given modules and the prime submodules in the direct product of their quotient module are studied and investigated.

The idea of ​​digital legacy is a very modern issue in the legal reality, as it did not appear until this decade, and the signs of its emergence in America are originating from Iraq by an American soldier who was killed in Iraq. The legal position of the accounts and pages and the content of the accounts and personal pages left by the human being after his death, and can it be passed on after him to the heirs or not? It is the general successor who deserves this digital stuff.

         When reviewing the position of comparative laws of American, English, French, Iraqi and Islamic jurisprudence, we find that the essence of the problem raised by the issue of digital heritage is the collis

      The research aims to study the estimation of compensation due to those affected by terrorist acts, guided by the legal systems in the Kingdom of Saudi Arabia and the experience of the French and Egyptian legislators, beginning with the dispute over the definition of terrorist act, and analyzing the extent of countries’ commitment to compensating those injured by terrorist acts, the legal basis for compensation for damage, and how the injured person is entitled to compensation and its relationship to standards Compensation and how to estimate it.

              The research reached several results, including the multiplicity of legal t

This study concerns a new type of heat exchangers, which is that of shell-and-double concentric tube heat exchangers. The case studies include both design calculations and performance calculations.

       The new heat exchanger design was conducted according to Kern method. The volumetric flow rates were 3.6 m³/h and 7.63 m³/h for the hot oil and water respectively. The experimental parameters studied were: temperature, flow rate of hot oil, flow rate of cold water and pressure drop.

A comparison was made for the theoretical and experimental results and it was found that the percentage error for the hot oil outlet temperature was (- 1.6%). The percentage

The concept of a 2-Absorbing submodule is considered as an essential feature in the field of module theory and has many generalizations. This articale discusses the concept of the Extend Nearly Pseudo Quasi-2-Absorbing submodules and their relationship to the 2-Absorbing submodule, Quasi-2-Absorbing submodule, Nearly-2-Absorbing submodule, Pseudo-2-Absorbing submodule, and the rest of the other concepts previously studied. The relationship between them has been studied, explaining that the opposite is not true and that under certain conditions the opposite becomes true. This article aims to study this concept and gives the most important propositions, characterizations, remarks, examples, lemmas, and observations related to it. In the en

يعد بيان التدفق النقدي من البيانات المهمة الصادرة من الوحدات الحكومية غير الهادفة للربح، بعد تبنيها معايير IPSASs ، مما يوفر معلومات اوسع تلبي حاجات المستخدمين لأتخاذ القرارات المناسبة . أذ يتضمن بيان التدفق النقدي بموجب المعيار رقم ( 2 ) التدفقات النقدية حسب الأنشطة التشغيلية و الاستثمارية والتمويلية ، وهذا لا ينسجم مع مخرجات النظام المحاسبي الحكومي العراقي . وان هدف البحث هو  التعرف