Al-Rafidain Journal of Computer Sciences and Mathematics (Jun 2005)

On Rings whose Simple Singular R-Modules are GP-Injective

  • Zubayda Ibraheem

DOI
https://doi.org/10.33899/csmj.2005.164068
Journal volume & issue
Vol. 2, no. 1
pp. 63 – 67

Abstract

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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

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