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RELATIVE QUASI- INVERTIBLITY

The purpose of this paper is to investigate the concept of relative quasi-invertible submodules motivated by rational submodules and quasi-invertible submodules. We introduce several properties and characterizations to relative quasi-invertiblity. We further investigate conditions under which identification consider between rationality, essentiality and relative quasi-invertiblity. Finally, we consider quasiinvertiblity relative to certain classes of submodules

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Publication Date
Sun Apr 30 2023
Journal Name
Iraqi Journal Of Science
Dynamics and Chaotic of Polynomials on Quasi Banach Spaces

In the present paper, the concepts of a quasi-metric space, quasi-Banach space
have been introduced. We prove some facts which are defined on these spaces and
define some polynomials on quasi-Banach spaces and studied their dynamics, such
as, quasi cyclic and quasi hypercyclic. We show the existence of quasi chaotic in the
sense of Devaney (quasi D-chaotic) polynomials on quasi Banach space of qsummable
sequences lq , 0<q<1 such polynomials P is defined by P((xi)i)=(p(xi+m))i
where p:CC, p(0) = 0. In general we also prove that P is quasi chaotic in the sense
of Auslander and Yorke (quasi AY-chaotic) if and only if 0 belong to the Julia set of
p, mN. And then we prove that if the above polynomial P o

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Publication Date
Fri Jan 26 2024
Journal Name
Iraqi Journal Of Science
Boundary Controllability of Nonlinear System in Quasi-Banach Spaces

Sufficient conditions for boundary controllability of nonlinear system in quasi-Banach spaces are established. The results are obtained by using the strongly continuous semigroup theory and some techniques of nonlinear functional analysis, such as, fixed point theorem and quasi-Banach contraction principle theorem. Moreover, we given an example which is provided to illustrate the theory.

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Publication Date
Tue Feb 12 2019
Journal Name
Iraqi Journal Of Laser
Enhanced Relative Humidity Sensor via Diameter of No-Core Fiber Structure

Single mode-no core-single mode fiber structure with a section of tuned no-core fiber diameter to sense changes in relative humidity has been experimentally demonstrated. The sensor performance with tuned NCF diameter was investigated to maximize the evanescent fields. Different tuned diameters of of (100, 80, and 60)μm were obtained by chemical etching process based on hydrofluoric acid immersion. The highest wavelength sensitivity was obtained 184.57 pm/RH% in the RH range of 30% –100% when the no-core fiber diameter diameter was 60 μm and the sensor response was in real-time measurements

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Publication Date
Thu Jan 10 2013
Journal Name
Asian Journal Of English Studies
The Use of Restrictive Relative Clauses in Letters to the Editors

A restrictive relative clause (RRC hereafter), which is also known as a defining relative clause, gives essential information about a noun that comes before it: without this clause the sentence wouldn’t make much sense. A RRC can be introduced by that, which, whose, who, or whom. Givon (1993, 1995), Fox (1987), Fox and Thompson (1990) state that a RCC is used for two main functions: grounding and description. When a RRC serves the function of linking the current referent to the preceding utterance in the discourse, it does a grounding function; and when the information coded in a RRC is associated with the prior proposition frame, the RRC does a proposition-linking grounding function. Furthermore, when a RRC is not used to ground a new di

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Publication Date
Mon Feb 01 2021
Journal Name
Journal Of Physics: Conference Series
The Convergence of Iterative Methods for Quasi δ-Contraction Mappings
Abstract<p>In this article, we will present a quasi-contraction mapping approach for D iteration, and we will prove that this iteration with modified SP iteration has the same convergence rate. At the other hand, we prove that the D iteration approach for quasi-contraction maps is faster than certain current leading iteration methods such as, Mann and Ishikawa. We are giving a numerical example, too.</p>
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Publication Date
Sat May 01 2021
Journal Name
Journal Of Physics: Conference Series
Equivalence of Some Iterations for Class of Quasi Contractive Mappings
Abstract<p>In this article, we recalled different types of iterations as Mann, Ishikawa, Noor, CR-iteration and, Modified SP_iteration of quasi δ-contraction mappings, and we proved that all these iterations equivalent to approximate fixed points of δ-contraction mappings in Banach spaces.</p>
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Publication Date
Fri Jan 20 2023
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Almost and Strongly Almost Approximately Nearly Quasi Compactly Packed Modules

In this paper, we present the almost approximately nearly quasi compactly packed (submodules) modules as an application of the almost approximately nearly quasiprime submodule. We give some examples, remarks, and properties of this concept. Also, as the strong form of this concept, we introduce the strongly, almost approximately nearly quasi compactly packed (submodules) modules. Moreover, we present the definitions of almost approximately nearly quasiprime radical submodules and almost approximately nearly quasiprime radical submodules and give some basic properties of these concepts that will be needed in section four of this research. We study these two concepts extensively.

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Publication Date
Thu Dec 30 2021
Journal Name
Iraqi Journal Of Science
Application of Quasi Subordination Associated with Generalized Sakaguchi Type Functions

In this article, a new class  of analytic functions which is defined by terms of a quasi-subordination is introduced. The coefficient estimates, including the classical  inequality of functions belonging to this class, are then derived. Also, several special improving results for the associated classes involving the subordination are presented.

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Publication Date
Sun Feb 13 2022
Journal Name
Iraqi Journal Of Science
In Situ Measuring of Relative Dielectric Permittivity to Calculate Electromagnetic Wave Velocity

The relative dielectric permittivity (dielectric constant) values for various materials are measured on site. The calculated values that are derived from measuring the ratio of the electrical capacitance of a cell when the sample of the material is placed. Parallel plate technique that consists of two parallel circular metallic plates is used. The instrument made up of aluminum which acts as electrodes and stuffed inside the PVC cylinder. Then the thin sheet of material (models) sandwiched between the two plates. Calculation of dielectric constant (εr) through this new technique gives a new velocity value of electromagnetic wave that propagates underground. These measured velocity values will utilize in Ground Penetration Radar (GPR) da

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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

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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