Generalized Regular Ring

摘要

Using module class C_R={M|Ax∈M,x×T=0, A T ∈J} we introduced the concepts of C_R-finitely generated module, C_r-finitely presented module and C_R-regular ring. We also discussed the criterion for C_R-regular ring, and the relations between C_R-regular ring and C_R-FP injection module.