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 g(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.
Other ID | JA49RD58NT |
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Journal Section | Articles |
Authors | |
Publication Date | December 1, 2009 |
Published in Issue | Year 2009 Volume: 6 Issue: 6 |