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On regularity and flatness
Author
Source
al- Rafidain Journal of Computer Sciences and Mathematics
Issue
Vol. 1, Issue 2 (31 Dec. 2004), pp.11-16, 6 p.
Publisher
University of Mosul College of Computer Science and Mathematics
Publication Date
2004-12-31
Country of Publication
Iraq
No. of Pages
6
Main Subjects
Topics
Abstract AR
يقال للحلقة R بأنها من النمط-SF اليمنى، إذا كان كل مقاس بسيط أيمن فيها مسطحا.
من المعروف أن كل حلقة منتظمة بمفهوم فون نيومان تكون حلقة من النمط-SF اليمنى و اليسرى.
في هذا البحث أعطينا شروطا أخرى لكي تكون كل حلقة من النمط-SF اليمنى حلقة منتظمة بقوة.
و من النتائج الأخرى التي حصلنا عليها هي خواص أخرى جديدة للحلقات من النمط-SF اليمنى.
Abstract EN
A ring R is called a right SF-ring if all its simple right Rmodules are flat.
It is well known that Von Neumann regular rings are right and left SF-rings.
In this paper we study conditions under which SF-rings are strongly regular.
Finally, some new characterstic properties of right SF-rings are given.
American Psychological Association (APA)
Shuqayr, Nizar H.. 2004. On regularity and flatness. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 1, no. 2, pp.11-16.
https://search.emarefa.net/detail/BIM-361086
Modern Language Association (MLA)
Shuqayr, Nizar H.. On regularity and flatness. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 1, no. 2 (2004), pp.11-16.
https://search.emarefa.net/detail/BIM-361086
American Medical Association (AMA)
Shuqayr, Nizar H.. On regularity and flatness. al- Rafidain Journal of Computer Sciences and Mathematics. 2004. Vol. 1, no. 2, pp.11-16.
https://search.emarefa.net/detail/BIM-361086
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 16
Record ID
BIM-361086