The main objective of this thesis is to study new concepts (up to our knowledge) which are P-rational submodules, P-polyform and fully polyform modules. We studied a special type of rational submodule, called the P-rational submodule. A submodule N of an R-module M is called P-rational (Simply, N≤_prM), if N is pure and Hom_R (M/N,E(M))=0 where E(M) is the injective hull of M. Many properties of the P-rational submodules were investigated, and various characteristics were given and discussed that are analogous to the results which are known in the concept of the rational submodule. We used a P-rational submodule to define a P-polyform module which is contained properly in the polyform module. An R-module M is called P-polyform if every es

Abstract:

  The research aims to diagnose the relationship between the environmental tax and the development of the sustainable social dimension, where the environmental tax is considered a tool in promoting sustainable development according to its economic, social and environmental dimensions through the application of legislation and instructions for environmental protection, and that imposing an environmental tax will have a clear impact in achieving the dimensions of sustainable development and compliance With regard to the social dimension, the research relied on the financial data for the years (2019-2022) in obtaining information. The research reached a set of results, the most prominent of which was

The binary cluster model (BCM) and the two-frequency shell model (TFSM) have been used to study the ground state matter densities of neutron-rich ⁶He and ¹¹Li halo nuclei. Calculations show that both models provide a good description on the matter density distribution of above nuclei. The root-mean square (rms) proton, neutron and matter radii of these halo nuclei obtained by TFSM have been successfully obtained. The elastic charge form factors for these halo nuclei are studied through combining the charge density distribution obtained by TFSM with the plane wave Born approximation (PWBA).

The study was conducted on twenty dogs from variety breeds to estimate the
incidence of tumor mass and determine the risk factors of survey to cases of a year
in veterinary hospital in Baghdad. The most common clinical signs were, ulceration,
bleeding into lesions in addition to drowsiness, anorexia, fever and the others were
depended tumor's location in dog's body like lameness, lacrimation and bloody
constipation etc.
The results showed 70% of the infected dogs were working with military forces
and 30% of them were pet dogs and we found that the highest percentage of tumor
accrued in dogs aged more than 10 years and the females recorded 60% of infection.
Terrier breed had the highest percentage of infection (