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F-Approximately Regular Modules
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We introduce in this paper the concept of an approximately pure submodule as a     generalization of a pure submodule, that is defined by Anderson and Fuller. If every submodule of an R-module  is approximately pure, then  is called F-approximately regular. Further, many results about this concept are given.

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Publication Date
Sun Jan 09 2022
Journal Name
Iraqi Journal Of Science
Near IR Photoconductive Detector Based on f-MWCNTs/Polythiophen Nanocomposite
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Carbon nanotubes are an ideal material for infrared applications due to their
excellent electronic and photo electronic properties, suitable band gap, mechanical
and chemical stabilities. Functionalised multi-wall carbon nanotubes (f-MWCNTs)
were incorporated into polythiophen (PTh) matrix by electro polymerization
method. f-MWCNTs/ PTh nanocomposit films were prepared with 5wt% and
10wt% loading ratios of f-MWCNTs in the polymer matrix. The films are deposited
on porous silicon nanosurfaces to fabricate photoconductive detectors work in the
near IR region. The detectors were illuminated by semiconductor laser diode with
peak wavelength of 808 nm radiation power of 300 mW. FTIR spectra assignments
verify that t

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Publication Date
Wed Nov 11 2015
Journal Name
Thesis
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

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Publication Date
Mon Feb 01 2021
Journal Name
Journal Of Physics: Conference Series
Essential T-small quasi-Dedekind modules
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Abstract<p>Let M be an R-module, where R be a commutative; ring with identity. In this paper, we defined a new kind of submodules, namely T-small quasi-Dedekind module(T-small Q-D-M) and essential T-small quasi-Dedekind module(ET-small Q-D-M). Let T be a proper submodule of an R-module M, M is called an (T-small Q-D-M) if, for all f ∊ End(M), f ≠ 0, implies <italic>Kerf</italic> is an T-small submodule of M <italic>(Kerf</italic>«<sub>T</sub> <italic>M)</italic>, if T≠ 0 then T ⊈ <italic>Kerf</italic>. In case <italic>Kerf</italic> is an essential T-small submodule of M <italic>(Kerf <<</italic></p> ... Show More
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Publication Date
Wed Mar 30 2022
Journal Name
Iraqi Journal Of Science
s-Compressible and s-Prime Modules
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   Let R be a ring with identity and Ą a left R-module. In this article, we introduce new generalizations of compressible and prime modules, namely s-compressible module and s-prime module. An R-module A is s-compressible if for any nonzero submodule B of A there exists a small f in HomR(A, B). An R-module A is s-prime if for any submodule B of A, annR (B) A is small in A. These concepts and related concepts are studied in as well as  many results consist properties and characterizations are obtained.  

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Publication Date
Thu Jun 30 2022
Journal Name
Iraqi Journal Of Science
On Indeterminacy (Neutrosophic ) of Hollow Modules
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    In this paper, we formulate and study a new property, namely indeterminacy (neutrosophic) of the hollow module. We mean indeterminacy hollow module is neutrosophic hollow module B (shortly Ne(B)) such that it is not possible to specify the conditions for satisfying it.  Some concepts have been studied and introduced, for instance, the indeterminacy local module, indeterminacy divisible module, indeterminacy indecomposable module and indeterminacy hollow-lifting module. Also, we investigate that if Ne(B) is an indeterminacy divisible module with no indeterminacy zero divisors, then any indeterminacy submodule Ne(K) of Ne(B) is an indeterminacy hollow module. Further, we study the relationship between the indeterminacy of hollow an

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Publication Date
Tue Jul 01 2014
Journal Name
Journal Of The Faculty Of Medicine Baghdad
Obesity Impact on Heart Rate Variability Indices and the Modulation Effect of Regular Physical Activity.
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Background: Obesity is imposing a growing threat to world health. The autonomic nervous system (ANS) regulates visceral functions via balance between sympathetic and parasympathetic divisions. In the cardiovascular system (CVS) this non stationary balance results in the fluctuation between intervals of consecutive heart beats, so called heart rate variability (HRV). Obesity is one of the causative co-morbid conditions leading to metabolic and cardiac disorders as it is accompanied with varied combinations of abnormalities in the ANS, one view is that obese people have higher sympathetic tone. HRV measures the effect of autonomic function on the heart alone. Therefore, it could be the most useful method to investigate the

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Publication Date
Thu Apr 08 2021
Journal Name
Journal Of Interdisciplinary Mathematics
The F-composition operator on Hardy space ℍ<sup>2</sup>
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Publication Date
Sun Jun 07 2015
Journal Name
Baghdad Science Journal
On Fully (m,n)-stable modules relative to an ideal A of
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Let R be a commutative ring with non-zero identity element. For two fixed positive integers m and n. A right R-module M is called fully (m,n) -stable relative to ideal A of , if for each n-generated submodule of Mm and R-homomorphism . In this paper we give some characterization theorems and properties of fully (m,n) -stable modules relative to an ideal A of . which generalize the results of fully stable modules relative to an ideal A of R.

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Publication Date
Sat Apr 30 2022
Journal Name
Iraqi Journal Of Science
On Large-Lifting and Large-Supplemented Modules
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      In this paper, we introduce the concepts of Large-lifting and Large-supplemented modules as a generalization of lifting and supplemented modules.  We also give some results and properties of this new kind of modules.

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Publication Date
Thu May 28 2020
Journal Name
Iraqi Journal Of Science
Semiprime RΓ-Submodules of Multiplication RΓ-Modules
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Let R be a Γ-ring and G be an RΓ-module. A proper RΓ-submodule S of G is said to be semiprime RΓ-submodule if for any ideal I of a Γ-ring R and for any RΓ-submodule A of G such that or which implies that . The purpose of this paper is to introduce interesting results of semiprime RΓ-submodule of RΓ-module which represents a generalization of semiprime submodules.

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