On Regularity and Flatness

Section: Research Paper
Issue
Vol. 1 No. 2 (2004): Volume 1 Issue 2
Published
Jun 25, 2025
Pages
11-16

Abstract

A ring R is called a right SF-ring if all its simple right R-modules 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.

Authors

Nazar H. Shuker

College of Computer Science and Mathematics University of Mosul, Mosul, Iraq

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How to Cite

H. Shuker, N., & نزار. (2025). On Regularity and Flatness. AL-Rafidain Journal of Computer Sciences and Mathematics, 1(2), 11–16. Retrieved from https://rjps.uomosul.edu.iq/index.php/csmj/article/view/19479