Weakly np-Injective Rings and Weakly C2 Rings

• DOI: 10.5666/kmj.2011.51.1.093
• Publication Date: 2011-06-27T22:15:37Z
• Authors: Junchao Wei; Jianhua Che
• Keywords: 0101 mathematics; 01 natural sciences

A ring R is called left weakly np-injective if for each non-nilpotent element a of R, there exists positive integer n such that any R-homomorphism from Ra to right multiplication by an R. In this paper various properties these rings are first developed, many extending known results as every or module over divisible; seft-injective and only RR injective; strongly regular abelian pp np-injective.We next introduce the concepts C2 rings.In terms rings, we give some characterizations (von Neumann) n-regular, C2.Finally, relations among GC2 given.