Through this study, the following has been proven, if  is an algebraically paranormal operator acting on separable Hilbert space, then  satisfies the ( ) property and  is also satisfies the ( ) property for all . These results are also achieved for  ( ) property.    In addition, we prove that for a polaroid operator with finite ascent then after the property ( ) holds for  for all.

      Let A, and N  are a semiring ,and  a left A- semimodule, respectively. In this work we will discuss two cases: 

1. The direct summand of π-projective semi module is π-projective, while the direct sum of two π-projective semimodules in general is not π-projective . The details of the proof will be given.
2. We will give a condition under which the direct sum of two π-projective semi modules is π-projective, as well as we also set conditions under which π-projective semi modules are projective.

This paper focuses on developing a strategy to represent the -connected ominoes using an abacus. We use the idea of -connected ominoes with respect to a frame in modelling nested chain abacus. Then, we formulate and prove the unique connected partition for any -connected ominoes. Next, the topological structure of nested chain abacus is presented.

Digital technologies have come to shake up the traditional paradigm of learning, and to change the existing relationship of "know-teaching" to put in place a key concept of the time is "to accompany through digital tools Our intervention is part of a technical-pedagogical approach and will focus on an action research work in which we will try:
First, to present on line an accessible digital device that facilitates and organizes project planning and provides means to govern and control the quality of administrative acts.
Next, We will show the first results of the experimentation of this tool in our context of research represented by 355 directors of the secondary schools of the provincial delegation of Taza. Morocco, pointing out a

Back ground : Fever is a common medical problem in
children. parents have been shown unrealistic fears of
harmful effects of fever in their children. Resulting in
inappropriate management of fever in their children.
Objective: the objective of this study was to survey
parents about their knowledge andattitude concerning fever
in their children.
Methods : The study involved random selection of
parents who brought their febrile children to emergency
department or out-patient clinics of five teaching and non
teaching hospitals in Baghdad from first of October to end
of December 2002.
Parents of 400 febrile children were interviewed using a
standard questionnaire to obtain sociodemographic
informatio

The aim of this research is to measure the logical maturity of kindergarten children. To achieve this aim, the researcher adopted the scale of Gold Schmid and Bentler (1968), which was translated to the Arabic language by Shabili (1988). The scale was administered to a sample of (100) kindergarten children were chosen randomly from a number of kindergartens in Baghdad city for the academic year (2017-2018). SPSS was used to analyze the collected data. The results revealed there is a level of logical maturity among the kindergarten children. The researcher came out with a number of recommendations and suggestions.                     &

The mechanism of managing religious difference

God is the Lord of the worlds, forget them and their jinn, Arabs and non-Muslims, He is the Lord of Muslims and Lord of non-Muslims, as He created them male and female despite their differences in tongues and colors, so He created them according to their diversity and distinction in beliefs and religions.

 To prevent flare-ups due to differences, the Lord of the worlds set limits that he has forbidden to cross, and draw clear maps as mechanisms for managing religious differences and lifting psychological barriers between the different, so that they can coexist in peace and freedom, each adhering to his faith, and practicing the rituals of his religion.