Let R be an associative ring with identity and M be unital non zero R-module. A
submodule N of a module M is called a δ-small submodule of M (briefly N << M )if
N+X=M for any proper submodule X of M with M/X singular, we have
X=M .
In this work,we study the modules which satisfies the ascending chain condition
(a. c. c.) and descending chain condition (d. c. c.) on this kind of submodules .Then
we generalize this conditions into the rings , in the last section we get same results
on δ- supplement submodules and we discuss some of these results on this types of
submodules.
The paper comprise comparative palynological study of six species belong to the genera Urtica L. and Parietaria L.(P.alsinifolia Del., P.lusitanica L., P.judaicaL., U.urens L., U.dioica L., and U.pilulifera L.) of the Family Urticaceae in Iraq. All pollen grains were small size and found to be porate, Stephanoporate, Zonoporate. Characters such as shape of pollen grain, number and Dimention of pores, and Sculpturing of pollen grains were overlapped between species and of limited taxonomic value.
The reaction paths of the C-C and C-H bond cleavage in the anthracene and phenanthrene aromatic molecules are studied by applying the ab-initio DFT method. It is found that the C-C bond cleavage proceeds via a singlet aromatic transition state, compelled through a disrotatoric ring opening reaction. A suprafacial H atom shift follows the transition state, leading to the formation of a methylene -CH2 and an acetylenic or allenic moiety. The calculated activation energies for anthracene range from 158.81-208.90 kcal/mol and the reaction energies from 96.106-156.976 kcal/mol. For phenanthrene, the energy values are 157.39-202.34 kcal/mol and 62.639-182.423 kcal/mol, respectively. For the C-H cleavage reactions, the calculated reaction energies
... Show MoreThis study includes the preparation of the ferrite nanoparticles CuxCe0.3-XNi0.7Fe2O4 (where: x = 0, 0.05, 0.1, 0.15, 0.2, 0.25, 0.3) using the sol-gel (auto combustion) method, and citric acid was used as a fuel for combustion. The results of the tests conducted by X-ray diffraction (XRD), emitting-field scanning electron microscopy (FE-SEM), energy-dispersive X-ray analyzer (EDX), and Vibration Sample Magnetic Device (VSM) showed that the compound has a face-centered cubic structure, and the lattice constant is increased with increasing Cu ion. On the other hand, the compound has apparent porosity and spherical particles, and t
... Show MoreThe multisystem inflammatory syndrome in children (MIS-C) considers a post-infectious immunological response to coronavirus illness (COVID-19) that was originally identified in the United Kingdom and later identified in other countries. A previously healthy 3-month-old boy was admitted to hospital context with -5-day history of fever, gastrointestinal symptoms [diarrhea, vomiting of normal gastric contents], hypoactivity, and poor oral intake, but so far no history of covid-19 active disease. The infant was dehydrated, with macular non-blanching skin rash everywhere over his body and widespread non-pitting edema. With supportive measures, methylprednisolone and IV immunoglobulin, the child improved, with his fever, skin rash, and labor
... Show MoreBackground:
Back ground: Bcaterial vaginosis is an important gynecological problem, during reproductive age group with high relapse rate ,it is associated with high vaginal PH, vaginal vitamin C recently tried to decreased vaginal PH and treat bacterial vaginosis.
Patients & Methods: One hundred and one women with Bacterial vaginosis their age range from 18-40 years enrolled in this study, the Diagnosis is confirmed by at least 3out of 4 of (Amsel criteria) which include a thin homogenous vaginal discharge, vaginal PH of ≥4.7, a characteristic ''amine odour'' release when alkali (lo% KOH) is added to a specimen of vaginal fluid, and at least 20% of epithelial cells having the appearance of clue cell in a wet mo
Background: Hepatitis is a disease of the liver caused by the infectious and non-infectious agents.
Patients &methods: A total of 600 blood donors attending blood bank at Baghdad city were included in this study , they were screened by Enzyme Immune sorbent Assay for detection of HBs Ag and anti-HCV ,that confirmed by recombinant immunoblot assay .the possible influence of the various factors on the prevalence was analyze too.
Results: Form the total donors there were 37(6.2%)and 6(1.7%)positive for HBV &HCV respectively .peak prevalence for HBs Ag was noticed in age groups (20-29)years .
Conclusion: Screening blood donors for both HBV and HCV is indispensable for safe blood transfusion. . In gen
Chronic viral hepatitis is an important health problem in the world, where hepatitis B virus (HBV) or hepatitis C virus (HCV) infections are the main causes of liver insufficiency. The study included 100 blood samples from patients with chronic viral hepatitis, fifty of them with HBV infection and 50 with HCV infection. Twenty apparently healthy age and gender matched subjects were included as a control group. Out of the 50 patients with HBV, 36(72%) were males and 14(28%) were females. Thirty two (64%) patients with HCV were males and 18(36%) were females. The mean age for HBV patients was 36.9 ± 15.8 year and for HCV patients it was 39.9 ±14.2 year. The results of the liver function tests showed no significant differ
... Show MoreBackground and objective: Viral Hepatitis Type B&C is serious public health challenge throughout the world.Hepatitis B and C viruses still remain to be the major causes of chronic hepatitis.It is estimated that around 350-400 million people in the world are chronic carriers of HBV, which represents approximately 7% of the total populationwhereas infection with HCV is found in approximately 3% of the world population, which represents 160 million people. Hepatitis B infection has a wide range of seroprevalence in the Mediterranean countries ranging from intermediate (=>2% ) to high prevalence ( =>7%). World Health Organization estimated a prevalence rate for HCV infection of about 4.6% in Eastern Mediterranean in 1999. During the eightieths
... Show MoreIn this paper, we presented new types of Mc-function by using ðœ”-open and ð‘-open sets some of them are weaker than Mc-function and some are stronger, which are ðœ”Mc-function, Mðœ”c-function, ðœ”Mðœ”c-function, ð‘Mc-function, Mð‘c-function and ð‘Mð‘c-function, also we submitted new kinds of continuous functions and compact functions and we illustrated the relationships between these types. The purpose of this paper is to expand the study of Mcfunction and to get results that we need to find the relationship with the types that have been introduced.