Pan, Haijing; Yang, Xinsong; Chen, Guanghai von Neumann regularity of similar \(N\)-rings. (Chinese. English summary) Zbl 1141.16013 J. Nat. Sci. Heilongjiang Univ. 24, No. 2, 278-280 (2007). Summary: The similar \(N\)-rings are defined. Some fundamental properties are given. It is shown that for a similar \(N\)-ring \(R\), the following conditions are equivalent: (1) \(R\) is a strongly regular ring; (2) each left (right) \(R\)-module is a YJ-injective module; (3) \(R\) is left (right) P-injective; (4) \(R\) is a left (right) SF-ring. MSC: 16E50 von Neumann regular rings and generalizations (associative algebraic aspects) 16D50 Injective modules, self-injective associative rings Keywords:weakly regular rings; similar \(N\)-rings; injective modules PDFBibTeX XMLCite \textit{H. Pan} et al., J. Nat. Sci. Heilongjiang Univ. 24, No. 2, 278--280 (2007; Zbl 1141.16013)