On regularity and flatness

Author

Shuqayr, Nizar H.

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

Mathematics

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