The concept of the order sum graph associated with a finite group based on the order of the group and order of group elements is introduced. Some of the properties and characteristics such as size, chromatic number, domination number, diameter, circumference, independence number, clique number, vertex connectivity, spectra, and Laplacian spectra of the order sum graph are determined. Characterizations of the order sum graph to be complete, perfect, etc. are also obtained.

This study aims to reach the right of governorates that are not organized in a region to impose local legislation, including tax legislation, and the extent of the constitutionality of this legislation and its consistency with constitutional texts and legal rules. The imposition of local taxes finds its constitutional and legal basis in the Iraqi constitution for the year 2005 and the law of governorates not organized in a region.The imposition of local taxes corresponds to the principle of tax legality, which is reflected in the necessity of issuing tax laws from a competent authority, whether this authority is federal, regional or local. Rather, it is sufficient that it be competent

Roller Compacted Concrete (RCC) is a technology characterized mainly by the use of rollers for compaction; this technology achieves significant time and cost savings in the construction of dams and roads. The primary scope of this research is to study the durability and performance of roller compacted concrete that was constructed in the laboratory using roller compactor manufactured in local market. A total of (60) slab specimen of (38×38×10) cm was constructed using the roller device, cured for 28 days, then 180 sawed cubes and 180 beams are obtained from RCC slab. Then, the specimens are subjected to 60 cycles of freezing and thawing, sulfate attack test and wetting and drying. The degree of effect of the type of coarse aggregate (c

It was known that every left (?,?) -derivation is a Jordan left (?,?) – derivation on ?-prime rings but the converse need not be true. In this paper we give conditions to the converse to be true.

Many studies have focused on identifying and classifying freshwater fishes in Iraq, concerned with describing, organizing, and drawing up a list of freshwater fishes in Iraq or the Tigris and Euphrates rivers. Within the most recent updates at the beginning of 2023, 53 native freshwater and 20 exotic (alien or introduced) fish species are recorded and described. This study reviewed the database of morphology and molecular studies of freshwater fish in Iraq and reported species while surveying the fish fauna at different water bodies of the country from 2010 to the beginning of 2023. In conclusion, 29 species (about 40.3%) of all 72 fish species in Iraq still need to be available information on their molecular data.

The aim of the present work is concerned with the effect of ?-irradiation on PM-355 with absorbed dose of (30-160Mrad) range. This polymer is evaluated spectrophotometrically for use as high dose dosimeters. The absorption spectra of irradiated samples showed radiation induced absorption changes. There is an increment in absorption proportional with absorbed dose. This increment is attributed to interfaces traps which, are formed by irradiation. Calibration curve was drawn .The linear relation was found in calibration curve, and dosimeter range was determined from the linear part. The linearity in response curve suggested that PM-355 could be used as dosimeter within (30-160Mrad) rang. Energy gap shift was used as a second tool to determin

The product  of   rn-paracompact and   rn-strongly  paracompact are briefly disc. ussed.

Sedum adolphii  stem cutting 1-2 cm were sterilized and cultured on different media . The favorable medium for callus formation was Murashige and skoog (MS, 1962)supplemented with Banzylaminopurine ( BAP) plus Naphalene acetic acid (NAA) in106M  each . Whereas, the best medium for differentiation was MS ,1962 supplemented with BAP 10-7M and NAA10-7M . The formed shoots were transferred to media without Auxin (control) or with different (NAA) concentrations (10-6and 10-7M) . The best rooted shoots were on control, transferred successfully to jeffy 7  discs and to the green house after 3 weeks.