A ring R is called left nil-injective if every R-homomorphism from a principal left ideal which is generated by a nilpotent element to R is a right multiplication by an element of R. In this paper, we first introduce and characterize a left nil-injective ring, which is a proper generalization of left p-injective ring. Next, various properties of left nil-injective rings are developed, many of them extend known results.
Left minimal elements left min-abel rings strongly left min-abel rings left MC2 rings simple singular modules left nil−injective modules
Diğer ID | JA25CG73CG |
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Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 1 Aralık 2007 |
Yayımlandığı Sayı | Yıl 2007 Cilt: 2 Sayı: 2 |