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On Simple Singular N-Flat Modules | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 1, Volume 10, Issue 3, 2013, Pages 13-20 PDF (403.95 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2013.163522 | ||
| Authors | ||
| Raida D. Mahmood1; Dina A. Hadid2 | ||
| 1College of Computer Sciences and Mathematics University of Mosul, Mosul, Iraq | ||
| 2College of Basic Education University of Duhok, Duhok, Iraq | ||
| Abstract | ||
| Let I be a right ideal of a ring R , then R/I is right N-flat module if and only if for each , there exists and a positive integer n such that and .In this paper, we first introduce and characterize rings whose every simple singular right R-module is N - flat. Next, we investigate the strong regularity of rings whose every simple singular right R - module is N-flat. It is proved that : R is strongly regular ring if and only if R is a wjc , MERT and 2 - primal ring whose simple singular right R- module is N - flat. Let R be a wjc ring satisfying condition (*). If every simple singular right R-module is N-flat .Then, the Center of R is a regular ring. | ||
| Keywords | ||
| N-Flat; MC2 - ring; WPSI ring; GQ - injective; CAM - ring | ||
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