Rings in which every simple right R-module is flat

Author

Mahmud, Raidah D.

Source

al- Rafidain Journal of Computer Sciences and Mathematics

Issue

Vol. 1, Issue 1 (30 Jun. 2004), pp.86-93, 8 p.

Publisher

University of Mosul College of Computer Science and Mathematics

Publication Date

2004-06-30

Country of Publication

Iraq

No. of Pages

8

Main Subjects

Mathematics

Topics

Abstract AR

يهدف هذا البحث إلى دراسة الحلقات التي يكون فيها كل مقياس أيمن مسطحا و تسمى هذه الحلقات بالحلقات منت النمط SF.

و من النتائج الأخرى التي حصلنا عليها "إذا كانت R شبه أولية و من النمط ERT, SF و أن SOR = 0 فإن R حلقة منتظمة بقوة.

Abstract EN

The objective of this paper is to initiate the study of rings in which each simple right R-module is flat, such rings will be called right SF-rings.

Some important properties of right SFrings are obtained.

Among other results we prove that: If R is a semi prime ERT right SF-ring with zero socle, then R is a strongly regular ring.

American Psychological Association (APA)

Mahmud, Raidah D.. 2004. Rings in which every simple right R-module is flat. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 1, no. 1, pp.86-93.
https://search.emarefa.net/detail/BIM-361234

Modern Language Association (MLA)

Mahmud, Raidah D.. Rings in which every simple right R-module is flat. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 1, no. 2 (2004), pp.86-93.
https://search.emarefa.net/detail/BIM-361234

American Medical Association (AMA)

Mahmud, Raidah D.. Rings in which every simple right R-module is flat. al- Rafidain Journal of Computer Sciences and Mathematics. 2004. Vol. 1, no. 1, pp.86-93.
https://search.emarefa.net/detail/BIM-361234

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 92-93

Record ID

BIM-361234