JCGP-Injective Rings With Some Types of Rings

JCGP-Injective Rings With Some Types of Rings

Abdullah M. Abdul-Jabbar

Department of Mathematics, College of Science, Salahaddin University, Kirkuk main street -Erbil Kurdistan Region Iraq

E-mail: abdullah.abduljabbar@su.edu.iq



Article info
Original: 13 Sep. 2014
Revised: 13 Nov. 2014
Accepted: 10 Dec. 2015
Published online:  
             20 March  2015

Key Words:
JCP-injective rings
JCGP-injective rings
GP-injective rings
regular rings




Abstract
 The concept of right P-injective rings, which was first introduced by Ming in 1974. As a generalization of right P-injective rings, the notion of right JCP-injective rings, which was first introduced by Junchao in 2009. Now, in the present paper we introduce the notion of right JCGP-injective rings, which is stronger than right GP-injective rings due to Ming in 1985. Some properties, characterizations and main results for right JCGP-injective rings will be finding.

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