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العناصر الجامدة و العوادم بالنسبة لمثالي يميني
Other Title(s)
Idempotent elements and annihilator relative to right ideal
Author
Source
مجلة جامعة دمشق للعلوم الأساسية
Issue
Vol. 37, Issue 1 (31 Jan. 2021), pp.355-380, 26 p.
Publisher
Publication Date
2021-01-31
Country of Publication
Syria
No. of Pages
26
Main Subjects
Abstract EN
In this paper we study the notion of idempotent elements relative to right ideal, we give other characterization of this elements.
Also, we present several examples of idempotent elements relative to right ideal in matrices ring and ring integer modulo .
In addition to that, new results obtained include necessary and sufficient conditions for a some ring to be has idempotent elements in term of matrices ring.
Where we obtain the relationship between idempotent elements in some ring and idempotent elements relative to right ideal in matrices ring over this ring.
Finally, we introduced the concept of annihilator of element relative to right ideal as generalization of annihilator of element in some ring.
Where we obtain several equivalently conditions of this concept.
In addition to that, we characterization of this concept in term matrices ring.
Where we proved that if is a ring and .
Then if and only if there exists such that for.
American Psychological Association (APA)
حاكمي، حمزة. 2021. العناصر الجامدة و العوادم بالنسبة لمثالي يميني. مجلة جامعة دمشق للعلوم الأساسية،مج. 37، ع. 1، ص ص. 355-380.
https://search.emarefa.net/detail/BIM-1275334
Modern Language Association (MLA)
حاكمي، حمزة. العناصر الجامدة و العوادم بالنسبة لمثالي يميني. مجلة جامعة دمشق للعلوم الأساسية مج. 37، ع. 1 (2021)، ص ص. 355-380.
https://search.emarefa.net/detail/BIM-1275334
American Medical Association (AMA)
حاكمي، حمزة. العناصر الجامدة و العوادم بالنسبة لمثالي يميني. مجلة جامعة دمشق للعلوم الأساسية. 2021. مج. 37، ع. 1، ص ص. 355-380.
https://search.emarefa.net/detail/BIM-1275334
Data Type
Journal Articles
Language
Arabic
Notes
يتضمن مراجع ببليوجرافية : ص. 380
Record ID
BIM-1275334