January 1999
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Communications in Algebra
We investigate von Neumann regularity of rings whose simple singular right R-modules are GP-injective. It is proved that a ring R is strongly regular iff R is a weakly right duo ring whose simple singular right R-modules are GP-injective. And it is also shown that R is either a strongly right bounded ring or a zero insertive ring in which every simple singular right R-module is GP-injective are reduced weakly regular rings. Several known results are unified and extended.