2012•Maǧallaẗ al-rāfidayn li-ʿulūm al-ḥāsibāt wa-al-riyāḍiyyāẗ/˜Al-œRafidain journal for computer sciences and mathematicsOpen access

On Simple GP – Injective Modules

Mohammed Th. Youns, Najlaa Jassim

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Abstract

In this paper, we study rings whose simple right R-module are GP-injective. We prove that ring whose simple right R-module is GP-injective it will be right -weakly regular ring. Also, proved that if R is N duo ring or R is NCI ring whose simple right R-module is GP-injective is S-weakly regular ring.

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In this paper, we study rings whose simple right R-module are GP-injective. We prove that ring whose simple right R-module is GP-injective it will be right -weakly regular ring. Also, proved that if R is N duo ring or R is NCI ring whose simple right R-module is GP-injective is S-weakly regular ring.

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Available abstract

In this paper, we study rings whose simple right R-module are GP-injective. We prove that ring whose simple right R-module is GP-injective it will be right -weakly regular ring. Also, proved that if R is N duo ring or R is NCI ring whose simple right R-module is GP-injective is S-weakly regular ring.

Key concepts: Injective function, Simple (philosophy), Simple module, Ring (chemistry), Injective module, Mathematics, Simple ring, Primitive ring

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