Let M be a prime Γ-ring satisfying abc  abc for all a,b,cM and
,  with center Z, and U be a Lie (Jordan) ideal. A mapping d :M M
is called Γ- centralizing if u d u Z  [ , ( )] for all uU and  .In this paper
, we studied Lie and Jordan ideal in a prime Γ - ring M together with Γ -
centralizing derivations on U.

The research discussed the role of interrelationships between the product attributes and the individual identity of the brand and the user, starting from reviewing the identity concepts in the general design propositions and the identity from the industrial design perspective, and highlighting the role of the attributes in identifying the individual identity of the product, which would enable the user to adopt them to be representative of his identity, starting from identifying the importance of the identity being characterized by three major elements: innovating products in the user's viewpoint, viewing the user's environment, the methodology of the design language, and identifying the identity attributes in the industrial product start

  We live in a world where cultures and visions overlap .. Therefore, every society seeks to create a harmonization that is in line with the data of those special cultures and reproduces those cultures and defines their paths. There are cultures based on historical action and experience and others that work on historical displacement, and art is one of the most important means of transmitting cultures and establishing their aesthetic harmony. This research is concerned with studying (cultural patterns and their representations in contemporary Mexican painting) and it falls into four chapters. The first chapter is devoted to explaining the research problem, its importance, the need for it, the goal of the research, and identifying th

The present study involves experimental analysis of the modified Closed Wet Cooling Tower (CWCT) based on first and second law of thermodynamics, to gain a deeper knowledge in this important field of engineering in Iraq. For this purpose, a prototype of CWCT optimized by added packing under a heat exchanger was designed, manufactured and tested for cooling capacity of 9 kW. Experiments are conducted to explore the effects of various operational and conformational parameters on the towers thermal performance. In the test section, spray water temperature and both dry bulb temperature and relative humidity of air measured at intermediate points of the heat exchanger and packing. Exergy of water and air were calculated by applying the exergy

Background: Development of colorectal adenocarcinoma principally occurs via the adenoma- carcinoma sequence of a multiple step process of tumor progression. This results from an accumulation of genetic changes in cells of intestinal mucosa. The use of molecular biomarkers may further aid in determining the risk of changing to carcinoma.

Objectives: To evaluate the expression of Bcl-2 and Ki-67 in colorectal adenomas and correlate the observed levels with age, gender, histological

. Mesopotamian art is thase mployed all around him into forms for artistic purposes and different con not at ions help him to understand the world around him and customized for their interests

The mural architectural art has distinguished traits that made it promote to the rank of the prominent arts that have been employed  by the Mesopotamian human to relate to the world  the heroic deeds and exploits  of that civilization ,that formed greatest and most splendid wonderful works that still illustrious and outstanding  till nowadays .The mural  architectural  art of pottery and glazed considered one of the most ancient wonders  of Mesopotamian creation in Old Iraq .The best quintessence of mural

This study was aimed to investigate the association between thyroid disorder and Helicobacter pylori infection in 122 patients (100 females and 22 males )and for comparison, 60 healthy individuals (31females and 29 males),who had no thyroid disorder, were also included in the study. Blood samples were collected from both patients and the healthier individuals. Enzyme Linked Fluorescent Assay (ELFA) technique through using Vitek Immuno Diagnostic Assay System (VIDAS) was applied to measure levels of the thyroid hormones (tri-iodothyronine T3, tetra-iodothyroxine T4) and thyroid stimulating hormone (TSH). From the results obtained, patients were classified into three groups: 40 were

The current study included a review of the registration and description of the Theretra alecto Boi, 1827 (Levant hawk moth), samples were collected from various areas of the Baghdad belt and the provinces of the Middle Euphrates, confirmation in the description was on the most important parts of the body included the head and it's appendages, pronotum, wings as well as male and female genitalia. The morphological characteristics under study were enhanced by illustrations and images. Information on the locations and date of the collection was also confirmed. This study aims to identify the most important characteristics of the diagnosis of the species and the review of appearance variations, especially the analytical style of wings, coupling