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ijs-7094
2-Prime Modules
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      In this paper, we introduce the notion of a 2-prime module as a generalization of prime module E over a ring R, where E is said to be prime module if (0) is a prime submodule. We introduced the concept of the 2-prime R-module. Module E is said to be 2-prime if (0) is 2-prime submodule of E. where a proper submodule K of module E is 2-prime submodule if, whenever rR, xE, E, Thus xK or [K: E].

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Publication Date
Mon Nov 30 2020
Journal Name
Journal Of Economics And Administrative Sciences
Strategic leadership skills as a moderate of the impact of environmental challenges on effective management of the environment according to the model (VUCA Prime)
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Purpose – The main purpose of this research is to highlight the main role of strategic leadership skills for top managements in accessing to effective management in accordance with the (VUCA Prime) methodology in (VUCA) environment as Miniature virtual environment, which refers to (Volatility), (Uncertainty), (Complexity), and (Ambiguity).

methodology – To achieve the research objective, this study selected the quantitative approach in research design, Questionnaire was used as the main instrument for data collection, the sample comprised the opinion poll (106) individual who functions as a head department. (Structural equation modelling by (Smart Pls3)

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Publication Date
Sun Apr 30 2023
Journal Name
Iraqi Journal Of Science
Synthesis and Characterization of Some New Metal Complexes of 2-phenyl-2-(p-tolylamino) and 2-phenyl-2-(phenylamino) Acetonitrile Compounds
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The synthesis and characterization of new complexes of Cr(III), Fe(III), Co(II), Ni(II), Cu(II) and Zn(II) with bidentate [L1: 2-phenyl-2-(p-tolylamino) acetonitrile] and [L2: 2-phenyl-2-(phenylamino) acetonitrile] ligands has been described. The two ligands were prepared by the reaction of p-toluidine and aniline with benzaldehyde, respectively in the presence of potassium cyanide and acidic medium. The complexes were synthesized by treating an ethanolic solution of the ligand with metal salts in a mole ratio of [1:2] [M:L]. The complexes were characterized by using metal and elemental analyses, electronic spectra, 1H-NMR, 13C-NMR, Thermal Gravimetric Analysis TGA, molar conductivity and magnetic susceptibility. According to the obtaine

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Publication Date
Sat Jan 01 2022
Journal Name
Int. J. Nonlinear Anal. Appl.
H - He-essential-supplemented modules
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Publication Date
Sun Mar 04 2018
Journal Name
Iraqi Journal Of Science
Fully Small Dual Stable Modules
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New types of modules named Fully Small Dual Stable Modules and Principally Small Dual Stable are studied and investigated. Both concepts are generalizations of Fully Dual Stable Modules and Principally Dual Stable Modules respectively. Our new concepts coincide when the module is Small Quasi-Projective, and by considering other kind of conditions. Characterizations and relations of these concepts and the concept of Small Duo Modules are investigated, where every fully small dual stable R-module M is small duo and the same for principally small dual stable.

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Publication Date
Sun May 28 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Weakly Relative Quasi-Injective Modules
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    Let R be a commutative ring with unity and let M, N be unitary R-modules. In this research, we give generalizations for the concepts: weakly relative injectivity, relative tightness and weakly injectivity of modules. We call M weakly N-quasi-injective, if for each f  Hom(N,) there exists a submodule X of  such that  f (N)  X ≈ M, where  is the quasi-injective hull of M. And we call M N-quasi-tight, if every quotient N / K of N which embeds in  embeds in M. While we call M weakly quasi-injective if M is weakly N-quasiinjective for every finitely generated R-module N.         Moreover, we generalize some properties of weakly N-injectiv

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Publication Date
Mon Jan 01 2024
Journal Name
Fifth International Conference On Applied Sciences: Icas2023
Ejectivity and goldie-extending modules
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Publication Date
Sat Mar 06 2010
Journal Name
J. Of University Of Anbar For Pure Science
Some Results on Epiform Modules
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The concept of epiform modules is a dual of the notion of monoform modules. In this work we give some properties of this class of modules. Also, we give conditions under which every hollow (copolyform) module is epiform.

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Publication Date
Wed Feb 22 2023
Journal Name
Iraqi Journal Of Science
Small Pointwise M-Projective Modules
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Let R be a ring and let M be a left R-module. In this paper introduce a small pointwise M-projective module as generalization of small M- projective module, also introduce the notation of small pointwise projective cover and study their basic properties.
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Publication Date
Thu Jul 01 2021
Journal Name
Journal Of Physics: Conference Series
T-Small Quasi-Dedekind modules
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Abstract<p>Let Q be a left Module over a ring with identity ℝ. In this paper, we introduced the concept of T-small Quasi-Dedekind Modules as follows, An R-module Q is T-small quasi-Dedekind Module if, <inline-formula> <tex-math><?CDATA $\forall \,w\,\in En{d}_{R}(Q),\,w\ne 0$?></tex-math> <math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mrow> <mo>∀</mo> <mspace width="0.25em"></mspace> <mi>w</mi> <mspace width="0.25em"></mspace> <mo></mo></mrow></math></inline-formula></p> ... Show More
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Publication Date
Thu May 11 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Strongly Essentially Quasi-Dedekind Modules
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  Let R be a commutative ring with unity. In this paper we introduce and study the concept of strongly essentially quasi-Dedekind module as a generalization of essentially quasiDedekind module. A unitary R-module M is called a strongly essentially quasi-Dedekind module if ( , ) 0 Hom M N M for all semiessential submodules N of M. Where a submodule N  of  an R-module  M  is called semiessential if , 0  pN for all nonzero prime submodules  P of  M .
 

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