MDS code is a linear code that achieves equality in the Singleton bound, and projective MDS (PG-MDS) is MDS code with independents property of any two columns of its generator matrix.   In this paper, elementary methods for modifying a PG-MDS code of dimensions 2, 3, as extending and lengthening, in order to find new incomplete PG-MDS codes have been used over . Also, two complete PG-MDS codes over  of length  and 28 have been found.

This study delves into the properties of the associated act V over the monoid S of sinshT. It examines the relationship between faithful, finitely generated, and separated acts, as well as their connections to one-to-one and onto operators. Additionally, the correlation between acts over a monoid and modules over a ring is explored. Specifically, it is established that  functions as an act over S if and only if  functions as module, where T represents a nilpotent operator. Furthermore, it is proved that when T is onto operator and  is finitely generated, is guaranteed to be finite-dimensional. Prove that for any bounded operator the following,  is acting over S if and only if  is a module where T is a nilpotent operator, is a

 الأثر V بالنسبة إلى   sinshT و خواصه قد تم دراسته في هذا البحث حيث تم دراسة علاقة الأثر المخلص والاثر المنتهى التولد والاثر المنفصل وربطها بالمؤثرات المتباينة حيث تم بهنة العلاقات التالية ان الاثر اذا وفقط اذا مقاس في حالة كون المؤثر هو عديم القوة وكذلك في حالة كون المؤثر شامل فان الاثر هو منتهي التولد اي ان الغضاء هو منتهي التولد وايضا تم برهن ان الاثر مخلص لكل مؤثر مقيد وك\لك قد تم التحقق من انه لاي مؤثر مقي

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         This reaserch seeks To answer Wondering :(Is there a possibility employ strategic agility In companies sample Serving in Iraq ?)

       This reaserch aims: explore Strategic Agility rely upon Dimensions that interact with each other to form the intcllectual frame Strategic Agility, These dimensions are: (Clarity of vision, Selected

Current research aims to know the personality traits of gifted
and has been the preparation , students in the Hashemite Kingdom of Jordan
pedagogy of talented ) 60 ( views of a sample of of the search tool of the
And has been applied to the . items ) 52 ( formed from the search tool , teachers
sample, and after treatment results reached statistical research results and the
researcher presented a number of recommendations including:
: Recommendations
1. Need for the development and rehabilitation of mentally gifted and structure
their characters in line and mental abilities and knowledge.
ams and psychological guidance for personal Preparation of scientific progr . 2
. development for the gifted
3. Work to

<span lang="EN-US">Increase the in population and kindergarten number, especially in urban areas made it difficult to properly manage waste. Thus, this paper proposed a system dedicated to kindergartens to manage to dispose of waste, the system can be called smart garbage based on internet of things (SGI). To ensure a healthy environment and an intelligent waste in the kindergarten management system in an integrated manner and supported by the internet of things (IoT), we presented it in detail identification, the SGI system includes details like a display system, an automatic lid system, and a communication system. This system supplied capabilities to monitor the status of waste continuously and on IoT website can show the pe

تعد صناعة السمنت في العراق من اقدم الصناعات الحديثة واكثرها تطورا وتقدما ومن اقواها تاثيرا في الاقتصاد القومي. واذ توفر في صناعة السمنت العراقي كافة المستلزمات الناجحة من حيث توفر المواد الاولية والخبرات الفنية والتقنية واسواق ثابتة وراسخة محليا وعالميا فقد كان من المفروض ان يتم التوسع في هذه الصناعة، وان التخطيط لهذه الصناعة امرا ضروريا خاصة وان مادة السمنت هي احدى اهم المواد الرئيسة التي يؤثر توفره

This study aimed to explore the relationship between cyberbullying and levels of pessimism and optimism among female university students, emphasizing the significance of these variables in students' psychological well-being. The research problem was identified in the increasing rates of cyberbullying among female students and its negative impact on optimism and pessimism, alongside the lack of effective counseling programs addressing this issue. The study sample consisted of 30 third-year students from the College of Physical Education and Sports Sciences for Women during the academic year 2023--2024. The participants were deliberately selected through a lottery method. The researchers employed the descriptive survey method as it suited the