An -module is called absolutely self neat if whenever is a map from a maximal left ideal of , with kernel in the filter is generated by the set of annihilator left ideals of elements in into , then is extendable to a map from into . The concept is analogous to the absolute self purity, while it properly generalizes quasi injectivity and absolute neatness and retains some of their properties. Certain types of rings are characterized using this concept. For example, a ring is left max-hereditary if and only if the homomorphic image of any absolutely neat -module is absolutely self neat, and is semisimple if and only if all -modules are absolutely self neat.

In this paper, we discuss the difference between classical and nonclassical symmetries. In addition, we found the non-classical symmetry of the Benjamin Bona Mahony Equation (BBM). Finally, we found a new exact solution to a Benjamin Bona Mahony Equation (BBM) using nonclassical symmetry.

A new procedure of depth estimation to the apex of dyke-like sources from
magnetic data has been achieved through the application of a derived equation. The
procedure consists of applying a simple filtering technique to the total magnetic
intensity data profiles resulting from dyke-like bodies, having various depths, widths
and inclination angles. A background trending line is drawn for the filtered profile
and the output profile is considered for further calculations.
Two straight lines are drawn along the maximum slopes of the filtered profile
flanks. Then, the horizontal distances between the two lines at various amplitude
levels are measured and plotted against the amplitudes and the resulted relation is a

The problem of atmospheric turbulence has taken a considerable amount of attentions in the literatures. Most of theise studies have not considering the quantitative aspects of the seeing conditions in terms of mathematical representation.
The study involves two-dimensional computer simulations of short exposure recording using Kolmogorov approach. The quality of these images is quantified in order to see the effects of atmospheric turbulence on the observed images. This assessment shows clearly the parameters that affect the possibilities of approaching diffraction limiting resolution of the telescope.
The results demonstrate that the average frequency components are linearly proportional to the square of the telescope radius a

This study was carried on 64 Geckos of different sizes collected from five
locations at Baghdad province over a period from July 2002 up to February 2003.
Bacteriological examination of 84 swabs taken from the digestive tract of these
animals revealed that 81 swabs (96.4%) were positive for bacterial isolates. The most
predominant bacteria were Salmonella spp. (50%) followed by E.coli (26.2%) and
Klesiella spp. (14.3%), which were isolated mostly from the small intestine and
feces. The highest frequency of Salmonella infection was observed in Geckos
collected from Al-Mahmodeia and Al-Amereia (100%), (83%) respectively, where
as the lowest frequency (26.6%) was found in Geckos collected from Baghdad

In this paper we introduce G-Rad-lifting module as aproper generalization of lifting module, some properties of this type of modules are investigated. We prove that if M is G-Rad- lifting and
, then
, and
are G-Rad- lifting, hence we Conclude the direct summand of G-Rad- lifting is also G-Rad- lifting. Also we prove that if M is a duo module with
and
are G- Rad- lifting then M is G-Rad- lifting.

This paper concerns the peristaltic flow of a Williamson fluid with variable viscosity model through porous medium under combined effects of MHD and wall properties. The assumptions of Reynolds number and long wavelength is investigated. The flow is investigated in a wave frame of reference moving with velocity of the wave. The perturbation series in terms of the Weissenberg number (We <1) was used to obtain explicit forms for velocity field and stream function. The effects of thermal conductivity, Grashof number, Darcy number, magnet, rigidity, stiffness of the wall and viscous damping force parameters on velocity and stream function have been studied.

The research shows that the fractal structure of the speech signal exhibits
fractal characteristics. The encouraging analysis results indicated that the fractal
dimension have good discrimination capabilities for speech signal, where it gave
a speaker recognition percentage about 70% (In the field of research for a single
parameter this percentage be valued), and these capabilities are strongly depends
on the setting situations of the recording process. The pitch period is the another
used parameter supported to the fractal dimension to strengthen the verification
decision. Where the pitch period estimated by a new suggested simple method to
gave a speaker verification percentage about 90%. The coa

In this paper we show the nilpotency of nilpotent derivation of simeprime Γ-ring with characteristic 2 must be a power of 2 and we show the nilpotency of a nilpotent derivation of simeprime Γ-ring is either odd or a power of 2 without torsion condition.

Geochemical modeling technique was used to study the chemical evolution of
the Upper most regional aquifer in Wadi Arar area. This aquifer composed from
limestone, dolomite and some scattered or interbedded anhydrite and gypsum.
Karstic terrains are highly developed in the area. Geochemical calculations showed
that the studied groundwater are supersaturated and undersaturated with carbonate
and sulfate minerals respectively. Four flow paths were selected to determine the
main chemical reactions thought to be responsible for the variation of chemical
composition of the system under consideration and also to evaluate the amount of
mass transfer of selected mineral phases. Many reaction path models ha

A two-dimensional model is constructed to simulate the flow regime of the
upper part of Dibdibba sandy aquifer in Safwan-Zubair area, south of Iraq. Although
the Dibdibba Formation is a multi-layer system in the surveyed area, the suggested
conceptual model which is advocated to simulate the flow regime of aquifer is fixed
for one layer, i.e., the activity of the deeper aquifer is negligible. The model is
calibrated using trial and error procedure in two stages: steady state followed by
transient state. The outcome of the calibration process demonstrated considerable
spatial variations in transmissivities and storativites of the aquifer system. A very
good similarity between the observed and simula

The present paper deals with the study of petrophysical and dynamic properties of (207) plugs which were taken from rock cores of Khasib Formation at five oil wells (No.2, AM-1 AM-2, HF-3, and HU-1) located in Missan area, South of Iraq.
A comparison was made for the studied properties deduced from laboratory and from the available well logs. (35) predictive equations are established to estimate the effective porosity, permeability, in terms of the properties that are obtained from resistivity sonic, radioactivity and neutron porosity logs. These equations showed that multiple correlation coefficients (R) have ranged between weak and excellent. Statistical relations regarding the calculated and the observed values of these propertie

The main purpose from this paper is to introduce a new kind of soft open sets in soft
topological spaces called soft omega open sets and we show that the collection of
every soft omega open sets in a soft topological space (X,~,E) forms a soft topology
  ~
on X which is soft finer than  ~
. Moreover we use soft omega open sets to define
and study new classes of soft functions called weakly soft omega open functions and
weakly soft omega closed functions which are weaker than weakly soft open functions
and weakly soft closed functions respectively. We obtain their basic properties, their
characterizations, and their relationships with other kinds of soft functions between
soft topological spaces.<

Let R be a ring with identity and M be a right unitary R-module. In this paper we
introduce the notion of strongly coretractable modules. Some basic properties of this
class of modules are investigated and some relationships between these modules and
other related concepts are introduced. 

Fuzzy measures are considered important tools to solve many environmental problems. Water pollution is one of the environmental problems, which has negatively effect on the health of consumers. In this paper, a mathematical model is proposed to evaluate water quality in the distribution networks of Baghdad city. Fuzzy logic and fuzzy measures have been applied to evaluate water quality with respect to chemical and microbiological contaminants. Our results are evaluate water pollution of some chemical and microbiological contaminants, which are difficult to evaluation through traditional methods.

Two-dimensional computer simulations are carried out to quantify the quality of
apodized square aperture (ASA) in terms of the diffraction limited resolution and the
efficiency of detection of faint companions. The study involve the quality of the
point spread function (psf), and the modulation transfer function (MTF) of a
reference star. Annular apodized square aperture (AASA) is also considered in this
study. The results are then compared with the classical circular aperture.
ASA shows high contrast which increases the possibility of detection of faint
companions and AASA demonstrates significant high frequency components which
leads to high resolution.

أشارت الد ا رسة إلى عدم وجود فروق معنوية احصائية عند مستوى الاحتمال 0.05 في قابلية طي ا رن
90 غ ري بعمر خمسة - ذبابة الدودة الحلزونية للعالم القديم المعرضة ع ذارى لجرع إشعاعية ت ا روحت بين 15
أيام عند إج ا رء التجربة تحت الظروف المختبرية ، أما عند تنفيذ التجربة تحت الظروف الحقلية فلوحظ وجود
فروق معنوية احصائية في قابلية طي ا رن بالغات ذبابة الدودة الحلزونية للعالم القديم وانتشارها والمعرضة
م. أما عندما ك

3D geological model of a simple petroleum reservoir for Yamama Formation has
been built in Abu Amood Oil Field using Petrel software, which is a product of
Schlumberger. This model contains the structure, stratigraphy and reservoir
properties (porosity and water saturation) in three directions(X, Y and Z).Geologic
modeling is an applied science of creating computerized representations of portions
of the earth's crust, especially oil and gas fields.
Yamama Formation in Abu Amood Oil Field is divided into thirteen zones by
using well logs and their petrophysical properties, six of which are reservoir zones.
From the top of the formation these six zones are: (YB-1, YB-2, YB-3, YC-1, YC-2
and YC-3). These reservoir

The FSO technique depends on the compatibility of the optical path between the transmitter and the receiver (line-of-sight) to transmit data between two points. FSO system uses the light to provide optical Contact to send and receive various data. This study shows the design of a new optical system for the transmission of voice through free space at wavelengths (650,532,405) nm within point-point technology for specified distances. What distinguishes this work is the quality of the reflection-based modulation based on the Doppler phenomenon. Also, it is interested in studying the different attenuation conditions of the atmosphere at the wavelengths used, in addition to the attenuation caused by the

In the present study, the structural properties which included the X-rays diffraction, and DSC, the mechanical properties, which include tensile test, threepoint bending test (Bending Test), hardness test and thermal conductivity of the polymers reinforced with calcite (PVC/CaCO3) at different temperature (25-40-80-
120-160-200-220) °C. The research results showed that the XC degree of X-ray diffraction decreased at high temperatures (220 ˚C), while the inter-polymerized polymer (PVC / CaCO3) increased at high temperatures. The DSC test results showed that the degree of crystallinity (XC) decreases at high temperatures (220 ˚C). The mechanical test results, their values were found to decrease at (

A marine geophysical survey using high-resolution Sub Bottom Profiler was
carried out for Palinurus Shoal (PS) , one of the shallow sites within Iraqi marine
borders, NW of the Arabian Gulf. Eight parallel transverses survey lines of (SBP)
were performed at the study area from southwest to northeast. Six lines were about
2.5 km in length, the two more lines crossed about 4.6 km area extended up to
Khawr Al Khafga. The distance separated the survey lines is about 0.6-0.8 km. In
addition, one more profiler was acquired longitudinal to the north-south direction,
6.3 km length. Abrupt reflectors slope changes reflectors discontinuity and
coherency were the main interpretation guides on the sub-bottom i

In this work, a single-mode endless photonic crystal fiber (PCF) is proposed and theoretically analysed using the empirical relationship method. The designed PCFs are composed of three uniform rings of air holes arranged in a circular shape. Three samples of fibers (PCFs_Pure, PCFs_doped1 and PCFs_doped2) with the same structure but are only different in the material of core have been investigated. The guiding properties of PCFs are studied in terms of effective refractive index, confinement loss and dispersion profile. The numerical results show that the PCFs_doped2 exhibits good properties such as high refractive index, low confinement loss and red shifting in th

Science, technology and many other fields are use clustering algorithm widely for many applications, this paper presents a new hybrid algorithm called KDBSCAN that work on improving k-mean algorithm and solve two of its
problems, the first problem is number of cluster, when it`s must be entered by user, this problem solved by using DBSCAN algorithm for estimating number of cluster, and the second problem is randomly initial centroid problem that has been dealt with by choosing the centroid in steady method and removing randomly choosing for a better results, this work used DUC 2002 dataset to obtain the results of KDBSCAN algorithm, it`s work in many application fields such as electronics libraries,

In this research shows how radiation therapy can be improved and developed using different structures of glucose molecules (α‐D glucose) C₆H₁₂O₆ and C₁₂H₂₄O₁₂ after adsorption on silver nanoparticles-AgNPs surface. This is by enhancing the radiation sensitivity (SER) of cancer cells in the human lung and meanwhile preserving the healthy cells surrounding the tumour itself. The primary role of AgNPs is as radiosensitizers that work to increase the absorbed dose of radiation in the presence of nanocomposites. Using a mathematical model to calculate the number of cancer cells remaining when exposed to radiation doses, where radiation sensitivity of C₆H₁₂

The geochemistry and mineralogy of the three formations ; Sargelu, Naokelekan and Chia Gara are studied using XRF, XRD, SEM, and EDS-elemental map analyses. These formations represent Jurassic sequences exposed to the North of Zakho within the North Thrust Zone, and constitute bituminous carbonate and shale rocks. The average concentrations of SiO2 and CaO in carbonate rocks are (11.7%, 7.75% and 9.16%) and (32.40%, 27.51% and 46.73%) in Sargelu, Naokelekan and Chia Gara Formations respectively, whereas in shale rocks are (27.51% and 19.48%) and (7.09% and 4.60%) in Sargelu and Naokelekan Formations. The MgO content as average in carbonate rocks is high in Sargelu (8.86%) compared to Naokelekan (0.28%) and Chia Gara (0.22%). The average

Climate and hydrological conditions in any hydrological basin are multi-combined reflection of natural factors of morphology and soil nature, as well as the changing in climate factors that affect directly on hydrological cycle. Water balance techniques are a means of solution of important theoretical and practical hydrological problems, while estimating the physical properties of water-bearing layers is an essential part of groundwater studies. One of the most effective ways of determining these properties is to conduct and analyze aquifer tests. The aim of this research is to compare groundwater recharge in Khan Al-Baghdadi area which located to northwest of Anbar governorate in the west of Iraq, depending on meteorological water balan

This paper examined the climatic water balance and hydrogeological conditions of the water bearing layers within Lailan basin. To achieve the water balance the meteorological data from Kirkuk station for the period (1970 to 2016) was used to calculate the water surplus and water deficit. Based on Mehta's model the water surplus (Ws) is equal to (127.86 mm/ year) representing 36.87 % of the total rainfall, while 63.13% of the total rainfall are water deficit. The study area is characterized by two main aquifer types, unconfined and semi-confined. Generally, groundwater recharge occurs from both sides of the basin toward the center and the general flow direction is from northeast to southwest. To det

New types of modules named Fully Small Dual Stable Modules and Principally Small Dual Stable are studied and investigated. Both concepts are generalizations of Fully Dual Stable Modules and Principally Dual Stable Modules respectively. Our new concepts coincide when the module is Small Quasi-Projective, and by considering other kind of conditions. Characterizations and relations of these concepts and the concept of Small Duo Modules are investigated, where every fully small dual stable R-module M is small duo and the same for principally small dual stable.