Wei JUNCHAO

17268

JCP-INJECTIVE RINGS

JCP-INJECTIVE RINGS

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.
Keywords:

right Jcp-injective ring, annihilator, GC2 ring, weakly injective ring von Neumann regular ring,

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International Electronic Journal of Algebra-Cover
  • ISSN: 1306-6048
  • Yayın Aralığı: Yılda 2 Sayı
  • Başlangıç: 2007
  • Yayıncı: Abdullah HARMANCI
Arşiv
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