حلقة برفير و الحلقة الحسابية
Other Title(s)
Prufer ring and Arithmetical ring
Joint Authors
الراشد، شوقي محمد
محمد عمر عيطة
Source
مجلة جامعة دمشق للعلوم الأساسية
Issue
Vol. 38, Issue 1 (31 Mar. 2022), pp.233-247, 15 p.
Publisher
Publication Date
2022-03-31
Country of Publication
Syria
No. of Pages
15
Main Subjects
Abstract EN
In this paper, it was presented a study of Prüfer ring and what conditions should be applied for the quotient ring to be an Arithmetical ring through the theorem (1.3), as a result of this theorem if is Prüfer domain, then the quotient ring is an Arithmetical ring.
New descriptions of Arithmetical ring in case it was reduced have also developed through the theorem (4.3) and result (7.3) and a Noetherian ring is a finite direct product of Noetherian rings each of them contains a unique minimal prime ideal within certain conditions through the theorem (8.3), it is a generalization that an Artin ring is a finite direct product of Artin local rings and then an Arithmetical Noetherian ring is a finite direct product of Arithmetical Noetherian rings each of them contains a unique minimal prime ideal as in the result (11.3).
Finding a criterion helps us to test a ring is not an Arithmetical ring as the result (5.3).
American Psychological Association (APA)
محمد عمر عيطة والراشد، شوقي محمد. 2022. حلقة برفير و الحلقة الحسابية. مجلة جامعة دمشق للعلوم الأساسية،مج. 38، ع. 1، ص ص. 233-247.
https://search.emarefa.net/detail/BIM-1435822
Modern Language Association (MLA)
محمد عمر عيطة والراشد، شوقي محمد. حلقة برفير و الحلقة الحسابية. مجلة جامعة دمشق للعلوم الأساسية مج. 38، ع. 1 (2022)، ص ص. 233-247.
https://search.emarefa.net/detail/BIM-1435822
American Medical Association (AMA)
محمد عمر عيطة والراشد، شوقي محمد. حلقة برفير و الحلقة الحسابية. مجلة جامعة دمشق للعلوم الأساسية. 2022. مج. 38، ع. 1، ص ص. 233-247.
https://search.emarefa.net/detail/BIM-1435822
Data Type
Journal Articles
Language
Arabic
Notes
يتضمن مراجع ببليوجرافية : ص. 198-201
Record ID
BIM-1435822