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.

A class of hyperrings known as divisible hyperrings will be studied in this paper. It will be presented as each element in this hyperring is a divisible element. Also shows the relationship between the Jacobsen Radical, and the set of invertible elements and gets some results, and linked these results with the divisible hyperring. After going through the concept of divisible hypermodule that presented 2017, later in 2022, the concept of the divisible hyperring will be related to the concept of division hyperring, where each division hyperring is divisible and the converse is achieved under conditions that will be explained in the theorem 3.14. At the end of this paper, it will be clear that the goal of this paper is to study the concept

Three species of nematodes are recorded from alimentary tracts of some Iraqi bats for the first tithe, while reporting Thelandros alatus constitutes first record of this species from mammals. Information on infection rate, distribution and halts are provided along with some relevant remarks.

      The definition of semi-preopen sets were first introduced by "Andrijevic" as were is defined by :Let (X ,  ) be a topological space, and let  A ⊆,    then A is called semi-preopen set if ⊆∘ .        In this paper, we study the properties of semi-preopen sets but by another  definition which is equivalent to the first definition and we also study the relationships among it and (open, α-open, preopen and semi-p-open )sets.

This study is due to insufficient development of the issues of initial training in tennis at youthful (student) age. Objective: development of a methodological and scientific-methodological base of students' tennis with current trends in tennis. Summing up the best practices of modern tennis, we came to the conclusion that the formation of the art of reflection backhands in teaching beginner students of sports specialization to achieve future success. In modern conditions in the development of Russian tennis student opens the possibility of using new technologies and programs. Using these approaches, we have developed a training program and tested students' tennis in the pedagogical experiment, which resulted in its effectiveness.

The structure of this paper includes an introduction to the definition of the nano topological space, which was defined by M. L. Thivagar, who defined the lower approximation of G and the upper approximation of G, as well as defined the boundary region of G and some other important definitions that were mentioned in this paper with giving some theories on this subject. Some examples of defining nano perfect mappings are presented along with some basic theories. Also, some basic definitions were presented that form the focus of this paper, including the definition of nano  pseudometrizable space, the definition of nano compactly generated space, and the definition of completely nano para-compact. In this paper, we presented images of nan

In this paper, we proposed a new class of weighted Rayleigh distribution based on two parameters, scale and shape parameters which are introduced in Rayleigh distribution. The main properties of this class are investigated and derived.

Uranium concentration and the annual committed effective dose in some selected medicinal plants commonly used in Iraq have been determined using fission tracks technique etch in twelve medical plants samples using CR-39 track detector. The results show that the uranium concentration ranged from 0.044±0.021 ppm in Thyme sample to 0.2±0.03 ppm in Black Pepper and Cardamom samples with an average value of 0.14 ±0.0 4ppm. The average annual effective dose due to ingestion of uranium radionuclide was 13.77x10 -5 mSv/y, which is below the world average annual committed effective dose of 0.3 mSv/y for ingestion of natural radionuclides.

This work has been carried out to develop national drug product contains 2.5mg/ml clonazepam as oral drop; it is used for the treatment of epilepsy in infants and children.
Several formulations were prepared using oral drop base, flavor, buffer, sweeteners and preservatives. Selection of best formula relied solely on physic-chemical testing of samples.
Stability study was conducted on the product for six months at different temperatures to determine the expiration date and the best storage conditions.
From the study we obtained an oral drop of good clear solution. The expiry date calculated to be not less than 2 years.