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The contributions of Arab scientists In (algebra)
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Research summary

Praise be to God, and prayers and peace be upon our master Muhammad, his family and companions until the Day of Judgment.

As for after:

It is the right of every nation to take care of its scientific heritage, and to reveal its human civilizational impact, and the Arabs are the richest nations in heritage, as they had in every period of time a sign and pride, the Arabs fulfilled their duty towards humanity, and they carried out a large part of their scientific activity towards humanity.

Therefore, highlighting some of the scientific aspects of the civilized activity of the Arabs, and removing some of the illusions spread by some malicious people, is a human duty before it is a national duty.

In order to achieve the truth, and to highlight the human scientific activity of the Arabs, I wanted to shed light on the contributions of the Arabs in one of the pure sciences, which is the science of algebra, in this research tagged:

(Contributions of Arab scholars in the science of algebra).

In it, I focused on the historical role of the Arabs without elaborating on the details of the theories of algebra. This research included three topics:

The first topic: the definition of algebra and its historical roots.

The second topic: Al-Khwarizmi's efforts in the science of algebra.

The third topic: the most famous Arab scientists and their efforts in the science of algebra.

Then the conclusion of the research, which included the most important results and recommendations.

 

God grants success.

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Publication Date
Sun Dec 03 2017
Journal Name
Baghdad Science Journal
On Fully Stable Banach Algebra Modules Relative to an Ideal
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In this paper, the concept of fully stable Banach Algebra modules relative to an ideal has been introduced. Let A be an algebra, X is called fully stable Banach A-module relative to ideal K of A, if for every submodule Y of X and for each multiplier ?:Y?X such that ?(Y)?Y+KX. Their properties and other characterizations for this concept have been studied.

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Abstract

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