2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/94775We give necessary and sufficient conditions on a row-finite graph E so that the Leavitt path algebra L(E) is purely infinite simple. This result provides the algebraic analog to the corresponding result for the Cuntz-Krieger C$^*$-algebra C$^*$(E) given in [7].Rings and Algebrastext