Throughout this paper R represents commutative ring with identity and M is a unitary left R-module. The purpose of this paper is to investigate some new results (up to our knowledge) on the concept of weak essential submodules which introduced by Muna A. Ahmed, where a submodule N of an R-module M is called weak essential, if N ? P ? (0) for each nonzero semiprime submodule P of M. In this paper we rewrite this definition in another formula. Some new definitions are introduced and various properties of weak essential submodules are considered.
Let R be a commutative ring with identity, and M be a left untial module. In this paper we introduce and study the concept w-closed submodules, that is stronger form of the concept of closed submodules, where asubmodule K of a module M is called w-closed in M, "if it has no proper weak essential extension in M", that is if there exists a submodule L of M with K is weak essential submodule of L then K=L. Some basic properties, examples of w-closed submodules are investigated, and some relationships between w-closed submodules and other related modules are studied. Furthermore, modules with chain condition on w-closed submodules are studied.
Plants and their extracts preparations have been used as medicines against infectious diseases. In present work, Cassia senna (leaves), Piper nigrum (fruits) were extracted with different organic solvents to investigate their antifungal activities in vitro. However, the effective of plant extracts against some pathologic fungi (Tricophyton rubrum, T. tonsurans, T. violaceum, Microsporum audouinii, M. canis and M. gypseum) were evaluated at concentrations ranged between (0.005–5%) using agar diffusion methods and compared with standard antifungal drug (Clotrimazole). Results showed that methanol extract of C. senna and ethanol extract of P. nigrum displayed excellent inhibition on dermatophytes compared with standard antifungal drug, th
... Show MoreIn this paper we introduce a new class of operators on Hilbert space. We
call the operators in this class, n,m- powers operators. We study this class
of operators and give some of their basic properties.
Efficacy of Oregano Essential Oil Mouthwash in Reducing Oral Halitosis: A Randomized, Double-Blind Clinical Trial, Mohamed Saeed M Ali, Ayser Najah Mohammed*
In Baghdad governorate, samples of dried birds waste were obtained from poultry cages for investigate the of the presence of fungi. There was a high proportion of Candida spp., Rhodotorula spp. and filamentous fungi that obtained from the dry droppings. Al samples gave a positive results included 177 isolates, these isolates includes different Candida species 62 isolates (35.02%), Rhodotorula spp. 28 isolates (15.81%), and the following filamentous genera: Aspergillus spp. 50 isolates (28. 24%), (A. niger 20 isolate, A. flavus 18 isolate, A. fumigatus 12 isolate), Penicillium spp. 11 isolates (6.21%) and Mucor spp. 26 isolate (14.68%). The inhibitory effect of the used detergents (with concentration of 10-1 mg/ml.( was ranged from 35 mm
... Show MoreBackground: The disc prolapse is a common condition especially in young adults. Different levels are affected in the lumber region; the L4/L5 disc is more susceptible to longitudinal load and is the most common site of lumbar disc prolapse. The L5/S1 disc is protected from torsion load by strong ilio-lumbar ligaments but it is more susceptible to axial compressive forces. Many factors affect the result and outcome of surgery in these levels.Objective: The aim of this study is to correlate operative data, short-term results, complications, and prognostic factors (age, gender, mobility, hospital stay, and level of pain) for one-level lumber discectomybetween different levels (L4–L5 vs. L5–S1).Methods In this prospective study, 32 patie
... Show MoreThis research was conducted to determine content levels of heavy metal pollution. Samples taken from Ishaqi River bank and adjacent agricultural soils area, in ten sites, distributed along 48 km of the Ishaqi River, north Baghdad. The evaluated metals were Zinc, Copper, Manganese, Iron, Cobalt, Nickel, Chromium, Cadmium, Vanadium and Lead. PH and Electric Conductivity (EC) were measured to evaluate the acidity and (EC). Results showed that most site were contaminated with metals evaluated. Among these metals, Zn, Mn, Fe and Ni were consistently higher in all the samples (both river bank and adjacent soil) followed by PB, CU, V, Cd, Co and Cr. The level concentrations of river bank were almost higher than that of adjacent soil. As will be re
... Show More