An R-module M is called a 2-regular module if every submodule N of M is 2-pure submodule, where a submodule N of M is 2-pure in M if for every ideal I of R, I2MN = I2N, [1]. This paper is a continuation of [1]. We give some conditions to characterize this class of modules, also many relationships with other related concepts are introduced.

Abstract

The current research aims to identify the impact of triangular bridging strategy in the acquisition of sociology of fourth-stage students. To achieve the research objective, the following null hypotheses were adopted: there are no statistically significant differences at a significance level (0, 05) between the average grades of the experimental group students who studied the triangular bridging strategy in acquiring concepts of sociology and average grades of the control group. The researcher has selected the fourth-stage students from Alexandronah School for girls that s related to the Directorate General of Baghdad the sample consisted of (87) students at litera

Let R be associative; ring; with an identity and let D be unitary left R- module; . In this work we present semiannihilator; supplement submodule as a generalization of R-a- supplement submodule, Let U and V be submodules of an R-module D if D=U+V and whenever Y≤ V and D=U+Y, then annY≪R;. We also introduce the the concept of semiannihilator -supplemented ;modules and semiannihilator weak; supplemented modules, and we give some basic properties of this conseptes

This work involves the preparation of the ligand [KL] :-                    Â­Â­Â­Â­Â­Â­

K[4-(N-(5-methylisoxazol-3-yl) sulfamyl) phenylcarbamodithioate] from the reaction of sulfamethoxazole  with Carbon disulfide  in the presence of  potassium hydroxide under reflux (4 hours) using methanol as asolvent. The prepared ligand was characterized using FT-IR, UV-Vis, ¹H,¹³C–NMR spectroscopy, molar conductivity and melting point,  Complexes for the above ligand [KL] with some bivalent transition and non-transition metals (Mn ⁺², Co⁺²  , Ni⁺²  ,

Background: The purpose of this study was to evaluate and compare centering ability and canal transportation of simulated S-shaped canals instrumented with four different types of rotary nickel-titanium systems. Materials and Methods: Forty simulated S-shaped canals in resin blocks were divided into four groups of ten each and were instrumented to an apical size 25 by different instrumentation technique using ProTaper Universal files (group A), ProTaperNext (group B), Reciproc (group C) and WaveOne (group D).Centering ability and canal transportation was measured at (11) measuring points from D0 to D10 bysuperimposion of the pre- and post-operative images obtained by using digital camera in standardized manner. An assessment of the canals

     Suppose that F is a reciprocal ring which has a unity and suppose that H is an F-module. We topologize La-Prim(H), the set of all primary La-submodules of H , similar to that for FPrim(F), the spectrum of fuzzy primary ideals of F, and examine the characteristics of this topological space. Particularly, we will research the relation between La-Prim(H) and La-Prim(F/ Ann(H)) and get some results.

       The present study conducted on 30 female patients with osteoarthritis OA a attending Baghdad teaching hospital, in addition to 30 healthy females, all subjects were (35-65) year's old .Parameters were measured in the sera of patients group and healthy groups were interleukin -8 (IL-8) and high sensitivity C-reactive protein (hs-CRP).The results revealed a higher significant in all parameters of patients sera compared to healthy groups. Conclusion was obtained that IL-8 and hs- CRP were a markers or player inflammatory disease like osteoarthritis nodal  

  From September 2002, monthly samples of common carp (Cyprinus carpio L.) were collected from two stations al AL-Gharraf canal. The results of this study revealed that the relationship between fecundity and total length , body weight and age can be  expressed by the following equations:  Log F=2.049+1.059 Log W.     r =0.98 Log F=1.173+2.534 Log L.     r =0.96 Log F=3.844+2.197 Log A.     r =0.87 The range of the absolute fecundity of 20 female fishes were 50910 – 1008514 eggs and the relative fecundity was 177 eggs/g. The average egg diameter was 1.52 mm in ripe female and it ranged from 0.99mm to 1.64mm. There were three peaks of Ganado somatic index in

     Let R be a commutative ring with unity and an R-submodule N is called semimaximal if and only if

 the sufficient conditions of F-submodules to be semimaximal .Also the concepts of (simple , semisimple) F- submodules and quotient F- modules are  introduced and given some  properties .

  Body odour is the smell caused by bacteria feeding on sweat on the skin, especially in the armpit and groin area. Fifty-four volunteers from students and employees of college of Education Ibn Al- Haitham, were surveyed. Data were obtained concerning: subject details and microbial examination. The following conclusions were reached:  1) coagulase negative Staphylococcus was the most common isolate. 2) The most effective antibiotics were amikacin, ciprofloxacin, vancomycin, cephalothin, tobramycin, gentamycin respectively and were least sensitive to methicillin and penicillin G. 3) Alum zirconium and alum chlorohydrate were the most effective antiperspirants.