Dergiler / International Electronic Journal of Algebra / 2009 / Cilt: 6 - Sayı: 6 #87039
JCP-INJECTIVE RINGS
- Sayfa
- 1–22
- DOI
- —
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 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.