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Rationally Extending Modules and Strongly Quasi-Monoform Modules

An R-module M is called rationally extending if each submodule of M is rational in a direct summand of M. In this paper we study this class of modules which is contained in the class of extending modules, Also we consider the class of strongly quasi-monoform modules, an R-module M is called strongly quasi-monoform if every nonzero proper submodule of M is quasi-invertible relative to some direct summand of M. Conditions are investigated to identify between these classes. Several properties are considered for such modules

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Publication Date
Mon Apr 02 2001
Journal Name
University Of Baghdad
Publication Date
Wed Sep 01 2021
Journal Name
Acta Pharmaceutica Sinica B
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Publication Date
Mon Jan 01 2018
Journal Name
World Journal Of Dentistry
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Publication Date
Fri Jul 01 2011
Journal Name
Saudi Pharmaceutical Journal
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Publication Date
Wed May 10 2017
Journal Name
Journal Of The College Of Languages
Difficulties of rendering both “imra’a” امرأة and “zawj” زوج in the Glorious Qur’an into English

Women are considered important characters and subjects of discussion in the Glorious Qur‟an. Some are portrayed in a positive light while others are condemned . Most women in the Glorious Qur‟an are represented as either the mothers or wives of certain leaders and prophets. But the lexical items “Imra‟a” شاحِا and “zawj” طٚص occur in the Glorious Qur‟an with different meanings depending on the context where they occur. Translation of the Glorious Qur'an has always been a problematic and difficult issue. Since the Glorious Qur'an is regarded as miraculous and inimitable (i'jaz al-Qur'an), Muslims argue that the Qur'anic text should not be separated from its true form to another different form keeping the A

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Publication Date
Sun Dec 25 2022
Journal Name
International Journal Of Drug Delivery Technology
Design and Evaluation of Solid Lipid Nanoparticle Eye Drops Containing VRN for Ocular Drug Delivery

As a well-known oral and intravenous antifungal, voriconazole (VRN) has an extensive history of usage in the medical field. Solid lipid nanoparticles (SLNs) have been produced to treat ocular fungal keratitis in the eye. A 32Box-behnken design was used to produce a variety of new formulas for hot-melt extrusion. The SLNs were evaluated by entrapment efficiency (EE percent), particle size (PS), polydispersity index (PDI), and zeta potential (ZP). A series of in-vitro and in-vivo studies were carried out on the new formula. The produced vesicles’ EE, PS, PDI, and ZP values were all good. SLNs eye drops were numerically adjusted to include carbopol, a stabilizer, lipids, and a surfactant, among other substances. ZP of -36.5 ± 0.20 m

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Publication Date
Tue Mar 01 2022
Journal Name
Evergreen
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Publication Date
Thu Nov 09 2023
Journal Name
Journal Of Global Scientific Research In Business Management And Economics
The profitability index and its role in evaluating the performance of specialized banks in Iraq.

Central banks around the world typically use various financial indicators to evaluate performance. In Iraq, the indicators used by central banks to evaluate the performance of banks are of great importance to ensure that the banks operating within the Iraqi banking system comply with the regulatory and legal requirements issued by the Central Bank of Iraq or the Ministry of Finance. Given the need to study the profitability indicator to ensure its ability to evaluate the performance of specialized banks in Iraq, these banks carry out their banking activities and businesses through capital funded by the government. The use of profitability indicators in evaluating the performance of specialized banks provides information about the profitabil

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Publication Date
Wed May 01 2024
Journal Name
Clinical Epidemiology And Global Health
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Publication Date
Tue Oct 01 2024
Journal Name
Esic
Comparative Analysis of Economic Policy Stability between Monarchical and Republican Systems: A Theoretical Fundamental Research

Comparative Analysis of Economic Policy Stability between Monarchical and Republican Systems: A Theoretical Fundamental Research