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ON SEMI-STRONG (WEAK)CJ-TOPLOGICAL SPACES
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Publication Date
Fri Oct 20 2023
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Semi-Small Compressible Modules and Semi-Small Retractable Modules
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Let  be a commutative ring with 1 and  be left unitary  . In this paper we introduced and studied concept of semi-small compressible module (a     is said to be semi-small compressible module if  can be embedded in every nonzero semi-small submodule of . Equivalently,  is  semi-small compressible module if there exists a monomorphism  , ,     is said to be semi-small retractable module if  , for every non-zero  semi-small sub module in . Equivalently,  is semi-small retractable if there exists a homomorphism  whenever  .     In this paper we introduce and study the concept of semi-small compressible and semi-small retractable s as a generalization of compressible  and retractable  respectively and give some of their adv

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Publication Date
Wed Mar 10 2021
Journal Name
Baghdad Science Journal
Generating a Strong Key for a Stream Cipher Systems Based on Permutation Networks
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The choice of binary Pseudonoise (PN) sequences with specific properties, having long period high complexity, randomness, minimum cross and auto- correlation which are essential for some communication systems. In this research a nonlinear PN generator is introduced . It consists of a combination of basic components like Linear Feedback Shift Register (LFSR), ?-element which is a type of RxR crossbar switches. The period and complexity of a sequence which are generated by the proposed generator are computed and the randomness properties of these sequences are measured by well-known randomness tests.

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Publication Date
Thu Jun 10 2010
Journal Name
Iraqi Journal Of Laser
Generation of Weak Coherent Pulses for Quantum Cryptography Systems
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This work is a trial to ensure the absolute security in any quantum cryptography (QC) protocol via building an effective hardware for satisfying the single-photon must requirement by controlling the value of mean photon number. This was approximately achieved by building a driving circuit that provide very short pulses (≈ 10 ns) for laser diode -LD- with output power of (0.7-0.99mW) using the available electronic components in local markets. These short pulses enable getting faint laser pulses that were further attenuated to reach mean photon number equal to 0.08 or less.

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Publication Date
Fri Nov 18 2016
Journal Name
International Journal Of Applied Mathematical Research
On common fixed points in generalized Menger spaces
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R. Vasuki [1] proved fixed point theorems for expansive mappings in Menger spaces. R. Gujetiya and et al [2] presented an extension of the main result of Vasuki, for four expansive mappings in Menger space. In this article, an important lemma is given to prove that the iteration sequence is Cauchy under suitable condition in Menger probabilistic G-metric space (shortly, MPGM-space). And then, used to obtain three common fixed point theorems for expansive type mappings.

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Publication Date
Sun Dec 02 2012
Journal Name
Baghdad Science Journal
Semi – Bounded Modules
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Let R be a commutative ring with identity, and let M be a unity R-module. M is called a bounded R-module provided that there exists an element x?M such that annR(M) = annR(x). As a generalization of this concept, a concept of semi-bounded module has been introduced as follows: M is called a semi-bounded if there exists an element x?M such that . In this paper, some properties and characterizations of semi-bounded modules are given. Also, various basic results about semi-bounded modules are considered. Moreover, some relations between semi-bounded modules and other types of modules are considered.

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Publication Date
Thu Jul 01 2021
Journal Name
Journal Of Physics: Conference Series
Compatibility and Edge Spaces in Alpha - Topological Spaces
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Abstract<p>This research presents the concepts of compatibility and edge spaces in <italic>α</italic>-topological spaces, and introduces the <italic>α</italic>-topology combinatorially induced by the <italic>α</italic>-topology. Furthermore, studies the relationship between the <italic>α</italic>-topology on <italic>V</italic> ∪ <italic>E</italic> and the relative <italic>α</italic>-topology on <italic>V</italic>.</p>
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Publication Date
Sat May 01 2021
Journal Name
Journal Of Physics: Conference Series
PC-Spaces
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Abstract<p>The present study concentrates on the new generalizations of the Jordan curve theorem. In order to achieve our goal, new spaces namely PC-space and strong PC-space are defined and studied their properties. One of the main concepts that use to define the related classes of spaces is paracompact space. In addition, the property of being PC-space and strong PC-space is preserved by defining a new type of function so called para-perfect function.</p>
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Publication Date
Sat Jan 01 2022
Journal Name
1st Samarra International Conference For Pure And Applied Sciences (sicps2021): Sicps2021
Feeble Hausdorff spaces in alpha-topological spaces using graph
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Publication Date
Wed Jul 01 2020
Journal Name
Journal Of Physics: Conference Series
Soft Simply Connected Spaces And Soft Simply Paracompact Spaces
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Abstract<p>We introduce in this paper some new concepts in soft topological spaces such as soft simply separated, soft simply disjoint, soft simply division, soft simply limit point and we define soft simply connected spaces, and we presented soft simply Paracompact spaces and studying some of its properties in soft topological spaces. In addition to introduce a new types of functions known as soft simply <italic>pu</italic>-continuous which are defined between two soft topological spaces.</p>
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Publication Date
Tue Jun 23 2015
Journal Name
Journal Of Intelligent &amp; Fuzzy Systems
A note on “separation axioms in fuzzy bitopological spaces”
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