nil−INJECTIVE RINGS
Authors : Jun-chao Wei, Jian-hua Chen
Pages : 1-21
View : 14 | Download : 11
Publication Date : 2007-12-01
Article Type : Other
Abstract :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.Keywords : Left minimal elements, left min-abel rings, strongly left min-abel rings, left MC2 rings, simple singular modules, left nil−injective modules