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T-Small Quasi-Dedekind modules
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> <mi>E</mi> <mi>n</mi> <msub> <mi>d</mi> <mi>R</mi> </msub> <mo stretchy="false">(</mo> <mi>Q</mi> <mo stretchy="false">)</mo> <mo>,</mo> <mspace width="0.25em"></mspace> <mi>w</mi> <mo>≠</mo> <mn>0</mn> </mrow> </math> <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JPCS_1963_1_012029_ieqn1.gif" xlink:type="simple"></inline-graphic> </inline-formula> then Ker w ≪<sub>T</sub> Q. Also, we illustrate it by examples and give basic properties.</p>
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Publication Date
Sat Jan 01 2011
Journal Name
International Journal Of Computer Theory And Engineering
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Publication Date
Wed Sep 13 2023
Journal Name
Aip Conference Proceedings
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Publication Date
Fri Jun 01 2012
Journal Name
Journal Of The College Of Languages (jcl)
The Poetics of Transition in T. S. Eliot's "Ash-Wednesday"
  1. S. Eliot is one of the important founders of the modernist movement in literature, a cutting-edge poet of the first order. After his 1927 conversion to Anglicanism, he began calling himself a conservative, royal, and a classicist.
  2. "Ash Wednesday" is the first long poem written by him after his conversion. It deals with the struggle that ensues when one who has lacked faith acquires it. It is richly but ambiguously allusive, and deals with the aspiration to move from spiritual barrenness to hope for human salvation.

    "Ash Wednesday" not only struggles with an approach to faith but with an approach to a language capable of expressing it. Eliot's style is different from that that predates his conve

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Publication Date
Wed Feb 28 2024
Journal Name
Al-rafidain Journal Of Medical Sciences ( Issn 2789-3219 )
The Effects of -806 T/C and -857 T/C Single Nucleotide Polymorphisms in the TNF-α Gene on Rheumatoid Arthritis Severity and Inflammatory Markers

Background: Polymorphisms in the TNF-α gene affect the development and progression of rheumatoid arthritis. Objective: To investigate the associations between (-806 T/C) and (-857 T/C) SNPs with rheumatoid arthritis severity and susceptibility in a sample of Iraqi patients. Methods: A case-control study was conducted in Baghdad, Iraq. Twenty healthy controls and 63 patients confirmed to be newly diagnosed with rheumatoid arthritis were included. Those are divided into two groups (patients and controls), and the patients were further subdivided into severe and mild-moderate groups. Samples from those participants were analyzed for clinical and inflammatory parameter measurements. Genotyping by the Sanger method was performed to stu

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Publication Date
Wed Oct 20 2021
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Zenali Iteration Method For Approximating Fixed Point of A δZA - Quasi Contractive mappings

This article will introduce a new iteration method called the zenali iteration method for the approximation of fixed points. We show that our iteration process is faster than the current leading iterations  like Mann, Ishikawa, oor, D- iterations, and *-  iteration for new contraction mappings called  quasi contraction mappings. And we  proved that all these iterations (Mann, Ishikawa, oor, D- iterations and *-  iteration) equivalent to approximate fixed points of  quasi contraction. We support our analytic proof by a numerical example, data dependence result for contraction mappings type  by employing zenali iteration also discussed.

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Publication Date
Sat Oct 30 2021
Journal Name
Iraqi Journal Of Science
Small Binary Codebook Design for Image Compression Depending on Rotating Blocks

     The searching process using a binary codebook of combined Block Truncation Coding (BTC) method and Vector Quantization (VQ), i.e. a full codebook search for each input image vector to find the best matched code word in the codebook, requires a long time.   Therefore, in this paper, after designing a small binary codebook, we adopted a new method by rotating each binary code word in this codebook into 900 to 2700 step 900 directions. Then, we systematized each code word depending on its angle  to involve four types of binary code books (i.e. Pour when , Flat when  , Vertical when, or Zigzag). The proposed scheme was used for decreasing the time of the coding procedure, with very small distortion per block, by designing s

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Publication Date
Thu Feb 11 2021
Journal Name
Journal Of Legal Sciences
International responsibility for the proliferation of small arms and light weapons

        he responsibility system has an important role in various international fields, including the area of ​​the proliferation of small and light weapons, and the destabilization and imbalance that this proliferation causes causes and legal centers, because without them, the agreement rules have no impact and significance, given the guarantees decided by the responsibility to ensure respect for the obligations imposed by that system,  Every action that violates the provisions of international law, whether it comes to a simple violation of an international obligation or a violation of a fundamental obligation that affects the interests of the international community requires the accountabilit

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Publication Date
Thu Feb 11 2021
Journal Name
Journal Of Legal Sciences
International responsibility for the proliferation of small arms and light weapons

نظمت التشريعات محل الدراسة الحقوق الحزبية وفق شروط معينة ذات طبيعة موضوعية, حتى يمكن أن تمارس وتتحقق الغاية من إباحتها, غير أن هذا التنظيم أخرج فئات معينة من نطاق ممارسة هذه الحقوق, وعمل على فرض قيود معينة تبعاً لتوفر صفات معينة في الأشخاص الذين يعدون مواطنين وتنطبق عليهم الشروط العامة لممارسة الحقوق السياسية, فأصبحت الصفة الرسمية للمواطن في الدولة, وطبيعة الوظيفة, أو التكليف العام التي يمارسها, ومن شأنها أن

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Publication Date
Sat Oct 30 2021
Journal Name
Iraqi Journal Of Science
Small Binary Codebook Design for Image Compression Depending on Rotating Blocks

     The searching process using a binary codebook of combined Block Truncation Coding (BTC) method and Vector Quantization (VQ), i.e. a full codebook search for each input image vector to find the best matched code word in the codebook, requires a long time.   Therefore, in this paper, after designing a small binary codebook, we adopted a new method by rotating each binary code word in this codebook into 900 to 2700 step 900 directions. Then, we systematized each code word depending on its angle  to involve four types of binary code books (i.e. Pour when , Flat when  , Vertical when, or Zigzag). The proposed scheme was used for decreasing the time of the coding pro

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Publication Date
Wed Aug 30 2023
Journal Name
Iraqi Journal Of Science
S-Essentially Compressible Modulesand S-Essentially Retractable Modules

     Let R be a commutative ring with 1 and M be a left unitary R-module. In this paper, we give a generalization for the notions of compressible (retractable) Modules. We study s-essentially compressible (s-essentially retractable). We give some of their advantages, properties, characterizations and examples. We also study the relation between s-essentially compressible   (s-essentially retractable modules) and some classes of modules.

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