Let  be a commutative ring with identity, and  be a unitary left R-module. In this paper we, introduce and study a new class of modules called pure hollow (Pr-hollow) and pure-lifting (Pr-lifting). We give a fundamental, properties of these concept.  also, we, introduce some conditions under which the quotient and direct sum of Pr-lifting modules is Pr-lifting.

Tolerance and its impact on building society

These researches have shown the magnitude of the influence that culture exerts on all human extensions and spaces. Rather, the conviction of many thinkers, researchers and specialists in the comprehensiveness of this influence is such that it is used as a starting point and perspective to explain the various aspects, manifestations, problems and practices. According to these perceptions, a man carries a cultural mind that is slowly formed throughout the young years of a man’s life and is completed upon reaching the age of maturity. Therefore, it has become evident in the behavioral, social and human sciences to acknowledge the multiplicity of human thought patterns as a natural result of the different cultures of peoples and societies.

Background .To know the incidence of adenoid hypertrophy in adults causing nasal obstruction and other nasal complains.
Methods.Prospective studyof(140 ) adult patientstheir main chief complaint were nasal obstruction , presented to Otolaryngology department at Aljumhory Teaching Hospital in Mosul , from the period (september 2010 to september 2011) ,their age ranged from (21 to 53) years . They were investigated clinically, radiologicaly ,and nasal endoscopic examination was carried out (rigid and fibro-optic ) . Adenoidectomy was performed for those with adenoid hypertrophy and sent for histopathological study .
Results:. we found adenoid enlargement in(24) patients (17.14%),in addition to nasalobstruction they were also complain

Praise be to God, Lord of the Worlds, and prayers and peace be upon our Master Muhammad and upon all his family and companions:
And then: What most concerns rational people and reformers in the modern era is the moral deviation and delinquency that dominates childhood, due to family disintegration and the lack of discipline of most societies according to the religious and moral motives called for by the heavenly messages, especially Islam, which is the final message and guarantees the reform of people in life. Every time and place.
Islam has drawn attention to this issue (childhood) and made it the focus of its consideration, considering that the child is the nucleus of society and the preparation for the future, so it ordered that

        Zadah in [1] introduced the notion of a fuzzy subset A of a nonempty set S as a mapping from S into [0,1], Liu in [2] introduced the concept of a fuzzy ring, Martines [3] introduced the notion of a fuzzy ideal of a fuzzy ring.         A non zero proper ideal I of a ring R is called an essential ideal if I  J  (0), for any non zero ideal J of R, [4].         Inaam in [5] fuzzified this concept to essential fuzzy ideal of fuzzy ring and gave its basic properties.         Nada in [6] introduced and studied notion of semiessential ideal in a ring R, where a non zero i

        In this paper, new transform with fundamental properties are presented. The new transform has many interesting properties and applications which make it rival to other transforms.

Furthermore, we generalize all existing differentiation, integration, and convolution theorems in the existing literature. New results and new shifting theorems are introduced. Finally, comprehensive list of this transforms of functions will be providing.

HS Saeed, SS Abdul-Jabbar, SG Mohammed, EA Abed, HS Ibrahem, Solid State Technology, 2020

Directional control valves are designed to control direction of flow, while actuators maintain required speeds and precise positions. Magnetorheological (MR) fluid is a controllable fluid. Utilizing the MR fluid properties, direct interface between magnetic fields and fluid power is possible, without the need for mechanical moving parts like spools. This study proposes a design of a four-way three-position MR directional control valve, presents a method of building, and explains the working principle of the valve. An analysis of the design and finite elements using finite element method of magnetism (FEMM) software was performed on each valve. The magnetic circuit of the MR valve was analyzed and the performance was simulated. The