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.
right Jcp-injective ring annihilator GC2 ring weakly injective ring von Neumann regular ring
Diğer ID | JA49RD58NT |
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Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 1 Aralık 2009 |
Yayımlandığı Sayı | Yıl 2009 Cilt: 6 Sayı: 6 |