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St-Closed and Semi-extending Modules
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Let R be a commutative ring with identity 1 ¹ 0, and let M be a unitary left module over R. A submodule N of an R-module M is called essential, if whenever N ⋂ L = (0), then L = (0) for every submodule L of M. In this case, we write N ≤e M. An R-module M is called extending, if every submodule of M is an essential in a direct summand of M. A submodule N of an R-module M is called semi-essential (denoted by N ≤sem M), if N ∩ P ≠ (0) for each nonzero prime submodule P of M. The main purpose of this work is to determine and study two new concepts (up to our knowledge) which are St-closed submodules and semi-extending modules. St-closed submodules is contained properly in the class of closed submodules, where a submodule N of M is called St-closed in M, if N has no proper semi-essential extension in M, i.e if there exists a submodule K of M such that N is a semi-essential submodule of K, then N = K. We investigate the main properties of this type of submodules, and discuss some results that are useful in our work. The class of semi-extending modules is a generalization to the notion of extending modules, where an R-module M is called semi-extending, if every submodule of M is a semi-essential in a direct summand of M. Various properties of semi-extending modules are obtained, and we study the relationships between this class of modules and other related concepts.

Publication Date
Thu Jan 09 2025
Journal Name
Journal Of Baghdad College Of Dentistry
Photodynamic Therapy and Periodontology
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This review highlights the importance of photodynamic therapy in periodontology. It can be confirmed that the photodynamic therapy as adjunct to classical scaling and root planing can be recommended as treatment option, which can by no means replace the classical therapy concepts. But even over an observation period of six months a slightly higher improvement of the clinical parameters was achieved than with SRP alone.

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Crossref (3)
Crossref
Publication Date
Fri Jun 29 2018
Journal Name
Journal Of The College Of Education For Women
Spinsterhood Reasons and treatments
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The research includes an introduction on Unmarried as one of the most dangerous phenomena's in Arab society in general and Iraqi society in specific especially after last decades wars that ruined the country and enlarged the number of unmarried women. First chapter dealt with the research problem that was increasing day after another while the percentage of unmarried women became 85% due to embargo and wars made by ex-regime that led to kill many Iraqis and decreasing marriage chances.

The research aims to recognize the reasons behind that and tries to find solutions by using quest ways and tools to get rid of old habits that represent obstacle marriage. The research dealt with unmarried in Arab countries where National Instituti

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Publication Date
Wed May 24 2023
Journal Name
College Of Islamic Sciences
Rwandan branches and objectives
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This is a search for Al-Rwandiyah and its heretical deviant sects, and its destructive goals that targeted the Arab nation, and its true Islamic religion in order to exhale poisons of demolition and sabotage, leading to its racist, populist goals ( ) that the Magi aspire to to restore the so-called ancient Persian glories, and undermine the Abbasid caliphate.
Al-Biruni said: (And that a person will emerge who will restore the Magian state and seize all the land, and remove the king of the Arabs) (), and among the indications of Ibn Al-Nadim is that a populist man called Muhammad bin Al-Hussein who was turned into Zaidan () was (claiming... the transition of the Islamic state to a state Persia ..... and their religion, which is the rel

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Publication Date
Mon Sep 30 2019
Journal Name
College Of Islamic Sciences
Jetting and its jurisprudence
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In recent times, many of those who practice the professions of Koranic treatment away from the legal controls, which dragged Muslims a lot of sedition and inflicted many in heresies and irregularities, and even spoiled the doctrines of many people making them relate to the causes and forget the Lord of the causes.
    For this reason it was incumbent upon the scholars to show the right from falsehood in this section, and because of the importance of the subject of jetting in Ruqyah and others, and how it is related, I chose the subject (jets and its jurisprudence), for all this I called on God to help me to show the right from wrong with regard to jetting And its provisions.

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Publication Date
Fri Feb 08 2019
Journal Name
Journal Of The College Of Education For Women
Randomand and social security
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The problem of informal settlements in Iraqi is one of the most serious problems due
to its economic, social and security impacts which jeopardize the society safety and stability.
This study investigates the present situation of informal settlements in the Baghdad
governorates as well as approaches followed in making decisions to either upgrade or remove
those areas. Requirements of each decision are also discussed.
Study methods relied on both office and field studies to collect data and information
needed. The study revealed important findings that would help take appropriate measures that
deal with the informal settlements in Iraqi. The study also proposes effective mechanisms to
preclude both an increase in c

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Publication Date
Fri Jan 01 2021
Journal Name
Beirut: Kanz Publising House
Rumi and the Qura’n
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Publication Date
Wed Jan 01 2014
Journal Name
Iraqi Journal Of Science
Calculate the Longitude and Orbital Motion for Amaletha, Europa, Ganymede and Callisto Satellites
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The orbital motion and longitude for some Jupiter's satellites (Amaletha, Europa, Ganymede and Callisto) were calculated from two different locations Iraq and Syria. A program was designed, the input parameters were the desired year, month, day and the longitude of the location, the output parameters results were applied in form of a file, and this file includes the longitude, orbital motion, and local time of these satellites. A specific date 1-10-2013 was taken, the results of longitude was (20-336) º and orbital motion was (92-331) º for both Iraq and Syria location with observing time (05:24:14-15:18:10) for Iraq and (04:56:33-14:50:30) for Syria. The difference in time between the two locations was constant (00:45:00), these results

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Publication Date
Sat Mar 31 2018
Journal Name
Iraqi Journal Of Chemical And Petroleum Engineering
Adsorption of Diclofenac Sodium and Ibuprofen by Bentonite Polyureaformaldehyde Thermodynamics and Kinetics Study
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An increasing number of emerging contaminants have been detected in surface waters, sediment, soil and ground water in different locations in the world, which is a new environmental challenges need an actual concern for international scientific and legislative communities. 

   The nonprescription and huge used pharmaceuticals ibuprofen and diclofenac sodium will be focused in this study. New adsorbent developed using cheap inorganic clay material (bentonite) and organic polymer polyureaformaldehyde (PUF), the combination of these two materials gave the surface more roughness with wide active site distribution. Batch adsorption experiment performed to each pharmaceutical individually to determine the optimum separat

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Publication Date
Wed Jan 01 2020
Journal Name
Indian Journal Of Forensic Medicine And Toxicology
Mouse hepatocellular carcinoma sensitivity to cisplatin and docetaxel and analysis of related proteins
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Scopus (1)
Scopus
Publication Date
Mon Apr 01 2019
Journal Name
Plant Archives
Association between BTN1A1 gene polymorphism and some reproductive efficiency indicator and heat toleranceinholsteincows
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This study was conducted in Al-Salam station for Dairy cattle/private sector, for the period from 1-11-2016 to 1-11-2017, to determine the association between BTN1A1 gene polymorphism and reproductive efficiency indicator and heat tolerance in 50 Holstein cows. The results of BTN1A1 gene analysis showed a highly significant Different (P<0.01) between genotypes of BTN1A1 gene’s genotypes AA, AB the percentage were 72.00, 28.00 % respectively. Results showed that services per conception and days open was significantly (P<0.05) affected by polymorphism of BTN1A1 gene and for cows with AA genotype, there was also a significant difference (P<0.05) between the genotypes of BTN1A1 gene for IgG concentration in calves blood who belong to mother

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Scopus