A characterization of graded von Neumann regular rings with applications to Leavitt path algebras

We prove a new characterization of graded von Neumann regular rings involving the recently introduced class nearly epsilon-strongly rings. As our main application, we generalize Hazrat's result that Leavitt path algebras over fields are regular. More precisely, show algebra LR(E) with coefficients in unital ring R is if and only also both corner skew Laurent polynomial semiprimitive semiprime. Thereby, by Abrams Aranda Pino on semiprimitivity fields.