Regularity of GP-V-rings and SF-rings

The regularity of GP-V-rings and SF-rings is discussed and the following results are obtained:(1) If R is a left GP-V′ ring and every complement left ideal of R is an ideal,then R is a reduced biregular ring;(2) R is strongly regular if and only if every simple singular left R-module is flat and every a in R satisfies r(a) I(a),(3) If R is a left SGPF ring and every maximal left ideal is a weakly right ideal,then R/J(R) is a strongly regular ring.