On SNF-rings , I | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 1, Volume 11, Issue 1, June 2014, Pages 13-18 PDF (390.51 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2014.163727 | ||
| Authors | ||
| Raida D. Mahmood1; Akram S. M.2 | ||
| 1College of Computer Sciences and Mathematics University of Mosul, Mosul, Iraq | ||
| 2Department of Mathematics, College of Computer Science and Mathematics University of Tikrit, IRAQ | ||
| Abstract | ||
| A ring is called right SNF-rings if every simple right R-module is N-flat . In this paper , we give some conditions which are sufficient or equivalent for a right SNF-ring to be n-regular (reduced) .It is shown that 1- If is a GW-ideal of R for every . then ,is reduced if and only if is right SNF-ring. 2- If is an reversible, then is regular if and only if is right GQ-injective and SSNF-ring . | ||
| Keywords | ||
| SNF-rings; GW-ideal; reversible | ||
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