JCP-INJECTIVE RINGS

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International Electronic Journal of Algebra
Volume:6 Issue:6
JCP-INJECTIVE RINGS

JCP-INJECTIVE RINGS

Authors : Wei JUNCHAO

Pages : 1-22

View : 20 | Download : 10

Publication Date : 2009-12-01

Article Type : Research Paper

Abstract :As a generalization of right p-injective rings, we introduce the notion of right Jcp-injective rings, i.e. for any right nonsingular element c of R and any right R-homomorphism g : cR → R, there exists m ∈ R such that ginsert ignore into journalissuearticles values(ca); = mca for all a ∈ R. Some important results which are known for right p-injective rings are shown to hold for right Jcp-injective rings.
Keywords : right Jcp injective ring, annihilator, GC2 ring, weakly injective ring, von Neumann regular ring

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