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《Journal of Nantong University(Natural Science Edition)》 2018-02
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Some Properties of Left JGP-V′-Rings

HU Gaoming;WU Jun;School of Mathematics and Statistics,Anhui Normal University;  
A ring R is called left JGP-V′-ring, if every simple singular left R-module is JGP-injective. In this paper,the non-singularity and the semiprimity of left JGP-V′-rings were studied, and results revealed that : 1) If R is a left JGP-V′-ring, then Z(RR)∩J(R) = 0;2)If R is a left quasi duo ring and JGP-V′-ring, then R is left non-singular;3)If R is a left duo ring and JGP-V′-ring, then R is semiprimitive.
【Fund】: 国家自然科学基金项目(11401009)
【CateGory Index】: O153.3
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