Simple flat Leavitt path algebras are von Neumann regular
Simple flat Leavitt path algebras are von Neumann regular
For a unital ring, it is an open question whether flatness of simple modules implies all modules are flat and thus the ring is von Neumann regular. The question was raised by Ramamurthi over 40 years ago who called such rings SF-rings (i.e. simple modules are flat). In this note …