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On Rings whose Simple Singular R-Modules are GP-Injective | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 6, Volume 2, Issue 1, 2005, Pages 63-67 PDF (211.54 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2005.164068 | ||
| Author | ||
| Zubayda M. Ibraheem | ||
| College of Computers Sciences and Mathematics University of Mosul, Iraq | ||
| Abstract | ||
| In this work we give a characterization of rings whose simple singular right R-modules are Gp-injective. We prove that if R is a quasi-duo ring whose simple singular right R-modules are Gp-injective, then any reduced right ideal of R is a direct summand. We also consider that a zero commutative ring with every simple singular left R-module is Gp-injective | ||
| Keywords | ||
| Gp-injective; R-modules; Quasi-duo ring; ZC-Ring | ||
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